Journal of Function Spaces最新文献

{"title":"Global Existence and Blow-up of Solutions for a Class of Singular Parabolic Equations with Viscoelastic Term","authors":"Yanchao Gao, Wenxu Jia, Zhixin Feng","doi":"10.1155/2024/5754129","DOIUrl":"https://doi.org/10.1155/2024/5754129","url":null,"abstract":"In this paper, we consider the initial boundary value problem for a class of singular parabolic equations with viscoelastic term and logarithmic term. By using the technique of cut-off and the method of Faedo-Galerkin approximation, the local existence of the weak solution is established. Based on the potential well method, the global existence of the weak solution is derived. Furthermore, we prove that the weak solution blows up in finite time by taking the concavity analysis method.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141170511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Common Fixed Point Theorems on -Metric Spaces for Integral Type Contractions Involving Rational Terms and Application to Fractional Integral Equation","authors":"G. S. Saluja, Hemant Kumar Nashine, Reena Jain, Rabha W. Ibrahim, Hossam A. Nabwey","doi":"10.1155/2024/5108481","DOIUrl":"https://doi.org/10.1155/2024/5108481","url":null,"abstract":"It has been shown that the findings of <span><svg height=\"9.49473pt\" style=\"vertical-align:-0.2063999pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 7.34169 9.49473\" width=\"7.34169pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>-</span>metric spaces may be deduced from <span><svg height=\"8.8423pt\" style=\"vertical-align:-0.2064009pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 6.25863 8.8423\" width=\"6.25863pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-84\"></use></g></svg>-</span>metric spaces by considering <span><svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 23.324 11.5564\" width=\"23.324pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-101\"></use></g><g transform=\"matrix(.013,0,0,-0.013,7.215,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,11.713,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,20.36,0)\"></path></g></svg><span></span><svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"25.4531838 -9.28833 23.25 11.5564\" width=\"23.25pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,25.503,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,32.992,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,41.122,0)\"></path></g></svg><span></span><svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"52.3341838 -9.28833 25.02 11.5564\" width=\"25.02pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,52.384,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,61.295,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,65.793,0)\"><use xlink:href=\"#g113-250\"></use></g><g transform=\"matrix(.013,0,0,-0.013,74.44,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"79.5331838 -9.28833 11.61 11.5564\" width=\"11.61pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,79.583,0)\"><use xlink:href=\"#g113-250\"></use></g><g transform=\"matrix(.013,0,0,-0.013,88.229,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><span><svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"93.3221838 -9.28833 12.431 11.5564\" width=\"12.431pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,93.372,0)\"><use xlink:href=\"#g113-249\"></use></g><g transform=\"matrix(.013,0,0,-0.013,100.861,0)\"><use xlink:href=\"#g113-42\"></use></g></svg>.</span></span> In this study, no such concepts that tran","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"62 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140832988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Simple Proofs for Bochner-Schoenberg-Eberlein and the Bochner-Schoenberg-Eberlein Module Properties on","authors":"Shirin Tavkoli, Rasoul Abazari, Ali Jabbari","doi":"10.1155/2024/5893357","DOIUrl":"https://doi.org/10.1155/2024/5893357","url":null,"abstract":"Let <svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 10.0819 8.68572\" width=\"10.0819pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-89\"></use></g></svg> be a nonempty set, <svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.2729 8.68572\" width=\"9.2729pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-66\"></use></g></svg> be a commutative Banach algebra, and <span><svg height=\"11.7782pt\" style=\"vertical-align:-3.42938pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.34882 17.503 11.7782\" width=\"17.503pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,9.872,0)\"></path></g></svg><span></span><svg height=\"11.7782pt\" style=\"vertical-align:-3.42938pt\" version=\"1.1\" viewbox=\"21.085183800000003 -8.34882 18.973 11.7782\" width=\"18.973pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,21.135,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,32.477,0)\"></path></g></svg><span></span><span><svg height=\"11.7782pt\" style=\"vertical-align:-3.42938pt\" version=\"1.1\" viewbox=\"43.6901838 -8.34882 13.517 11.7782\" width=\"13.517pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,43.74,0)\"></path></g></svg>.</span></span> In this paper, we present a concise proof for the result concerning the BSE (Banach space extension) property of <span><svg height=\"12.8091pt\" style=\"vertical-align:-2.2681pt\" version=\"1.1\" viewbox=\"-0.0498162 -10.541 28.884 12.8091\" width=\"28.884pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-127\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,6.047,-5.741)\"><use xlink:href=\"#g50-113\"></use></g><g transform=\"matrix(.013,0,0,-0.013,11.998,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,16.496,0)\"><use xlink:href=\"#g113-89\"></use></g><g transform=\"matrix(.013,0,0,-0.013,25.92,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><span><svg height=\"12.8091pt\" style=\"vertical-align:-2.2681pt\" version=\"1.1\" viewbox=\"31.0131838 -10.541 13.873 12.8091\" width=\"13.873pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,31.063,0)\"><use xlink:href=\"#g113-66\"></use></g><g transform=\"matrix(.013,0,0,-0.013,40.198,0)\"><use xlink:href=\"#g113-42\"></use></g></svg>.</span></span> Specifically, we establish that <span><svg height=\"12.8091pt\" style=\"vertical-align:-2.2681pt\" version=\"1.1\" viewbox=\"-0.0498162 -10.541 28.884 12.8091\"","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"96 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140833017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Scalability of Generalized Frames for Operators","authors":"Varinder Kumar, Sapna Malhotra, Nikhil Khanna","doi":"10.1155/2024/8358987","DOIUrl":"https://doi.org/10.1155/2024/8358987","url":null,"abstract":"In this paper, the Parseval <span><svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>-</span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.52435 9.39034\" width=\"7.52435pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>-frames are constructed from a given <span><svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-76\"></use></g></svg>-</span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.52435 9.39034\" width=\"7.52435pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-104\"></use></g></svg>-frame by scaling the elements of the <span><svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-76\"></use></g></svg>-</span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.52435 9.39034\" width=\"7.52435pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-104\"></use></g></svg>-frame with the help of diagonal operators, and these frames are named scalable <span><svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-76\"></use></g></svg>-</span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.52435 9.39034\" width=\"7.52435pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-104\"></use></g></svg>-frames. Also, we prove some properties of scalable <span><svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.95144 8.68572\" width=\"9.95144pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-76\"></use></g></svg>-</span><svg height=\"9.39034pt\" style=\"vertical","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"27 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140600257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Relative Uniform Convergence of Sequence of Functions Related to -Spaces Defined by Orlicz Functions","authors":"Diksha Debbarma, Mustafa M. Mohammed, Binod Chandra Tripathy, Awad A. Bakery","doi":"10.1155/2024/6638662","DOIUrl":"https://doi.org/10.1155/2024/6638662","url":null,"abstract":"The Orlicz function-defined sequence spaces of functions by relative uniform convergence of sequences related to <span><svg height=\"10.2124pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -6.78297 7.83752 10.2124\" width=\"7.83752pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>-</span>absolutely summable spaces are a new concept that is introduced in this article. We look at its various attributes, such as solidity, completeness, and symmetry. We also look at a few insertional connections involving these spaces.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"73 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140600256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces","authors":"Asifa Tassaddiq, Wakeel Ahmed, Shahid Zaman, Asma Raza, Usman Islam, Kwara Nantomah","doi":"10.1155/2024/5583824","DOIUrl":"https://doi.org/10.1155/2024/5583824","url":null,"abstract":"The role of iterative algorithms is vital in exploring the diverse domains of science and has proven to be a powerful tool for solving complex computational problems in the most trending branches of computer science. Taking motivation from this fact, we develop and apply a modified four-step iterative algorithm to solve the fixed point problem in the Hadamard spaces using a total asymptotic nonexpansive mapping. MATLAB R2018b is used for numerical experiments to ensure a better convergence rate of the proposed iterative algorithm with existing results.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"24 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140154443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces","authors":"Munirah Aljuaid, M. A. Bakhit","doi":"10.1155/2024/5581805","DOIUrl":"https://doi.org/10.1155/2024/5581805","url":null,"abstract":"This article examines the norms of composition operators from the weighted harmonic Bloch space &lt;span&gt;&lt;svg height=\"16.0921pt\" style=\"vertical-align:-3.8339pt\" version=\"1.1\" viewbox=\"-0.0498162 -12.2582 23.549 16.0921\" width=\"23.549pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.0091,0,0,-0.0091,12.35,-5.741)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.0091,0,0,-0.0091,12.35,3.784)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,20.585,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"16.0921pt\" style=\"vertical-align:-3.8339pt\" version=\"1.1\" viewbox=\"25.678183800000003 -12.2582 22.001 16.0921\" width=\"22.001pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,25.728,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,30.226,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,40.098,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"16.0921pt\" style=\"vertical-align:-3.8339pt\" version=\"1.1\" viewbox=\"51.3101838 -12.2582 18.437 16.0921\" width=\"18.437pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,51.36,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,62.166,0)\"&gt;&lt;use xlink:href=\"#g117-91\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"16.0921pt\" style=\"vertical-align:-3.8339pt\" version=\"1.1\" viewbox=\"73.3791838 -12.2582 18.108 16.0921\" width=\"18.108pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,73.429,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,86.689,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;/span&gt; to the weighted harmonic Zygmund space &lt;span&gt;&lt;svg height=\"17.5066pt\" style=\"vertical-align:-4.091pt\" version=\"1.1\" viewbox=\"-0.0498162 -13.4156 23.315 17.5066\" width=\"23.315pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.0091,0,0,-0.0091,12.116,-6.899)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.0091,0,0,-0.0091,12.116,4.041)\"&gt;&lt;use xlink:href=\"#g50-73\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,20.351,0)\"&gt;&lt;use xlink:href=\"#g113-45\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"17.5066pt\" style=\"vertical-align:-4.091pt\" version=\"1.1\" viewbox=\"25.4441838 -13.4156 22.001 17.5066\" width=\"22.001pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,25.494,0)\"&gt;&lt;use xlink:href=\"#g113-41\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,29.992,0)\"&gt;&lt;use xlink:href=\"#g113-49\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,39.864,0)\"&gt;&lt;use xlink:href=\"#g117-91\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"17.5066pt\" style=\"vertical-align:-4.091pt\" version=\"1.1\" viewbox=\"51.0771838 -13.4156 18.817 17.5066\" width=\"18.817pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"69 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140154178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Locating Edge Domination Number of Some Classes of Claw-Free Cubic Graphs","authors":"Muhammad Shoaib Sardar, Hamna Choudhry, Jia-Bao Liu","doi":"10.1155/2024/1182858","DOIUrl":"https://doi.org/10.1155/2024/1182858","url":null,"abstract":"Let &lt;span&gt;&lt;svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 20.155 11.5564\" width=\"20.155pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,12.524,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"23.7371838 -9.28833 14.99 11.5564\" width=\"14.99pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,23.787,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,28.285,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,35.813,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;span&gt;&lt;/span&gt;&lt;svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"40.9061838 -9.28833 12.769 11.5564\" width=\"12.769pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,40.956,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,48.964,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt;&lt;/span&gt; be a simple graph with vertex set &lt;svg height=\"8.8423pt\" style=\"vertical-align:-0.2064009pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.35121 8.8423\" width=\"9.35121pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-87\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt; and edge set &lt;span&gt;&lt;svg height=\"8.68572pt\" style=\"vertical-align:-0.0498209pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 8.13765 8.68572\" width=\"8.13765pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-70\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;.&lt;/span&gt; In a graph &lt;span&gt;&lt;svg height=\"8.8423pt\" style=\"vertical-align:-0.2064009pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.02496 8.8423\" width=\"9.02496pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-72\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt;,&lt;/span&gt; a subset of edges denoted by &lt;svg height=\"9.09021pt\" style=\"vertical-align:-0.2455397pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.84467 14.0879 9.09021\" width=\"14.0879pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;/path&gt;&lt;/g&gt;&lt;/svg&gt; is referred to as an edge-dominating set of &lt;svg height=\"8.8423pt\" style=\"vertical-align:-0.2064009pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 9.02496 8.8423\" width=\"9.02496pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=\"matrix(.013,0,0,-0.013,0,0)\"&gt;&lt;use xlink:href=\"#g113-72\"&gt;&lt;/use&gt;&lt;/g&gt;&lt;/svg&gt; if every edge that is not in &lt;svg height=\"9.09021pt\" style=\"vertical-align:-0.2455397pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.84467 14.0879 9.09021\" width=\"14.0879pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"&gt;&lt;g transform=","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"3 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140002784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Naimark-Type Results Using Frames","authors":"Raksha Sharma, Nikhil Khanna","doi":"10.1155/2024/8588361","DOIUrl":"https://doi.org/10.1155/2024/8588361","url":null,"abstract":"In this article, a modified version of frame called frame associated with a sequence of scalars (FASS) is defined. This modified version of frame is used to study quantum measurements. Also, using FASS, some Naimark-type results are obtained. Finally, a formula to give the average probability of an incorrect measurement using FASS is obtained.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"70 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139920474","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A New Method for Estimating General Coefficients to Classes of Bi-univalent Functions","authors":"Oqlah Al-Refai, Ala Amourah, Tariq Al-Hawary, Basem Aref Frasin","doi":"10.1155/2024/9889253","DOIUrl":"https://doi.org/10.1155/2024/9889253","url":null,"abstract":"This study establishes a new method to investigate bounds of <span><svg height=\"12.5794pt\" style=\"vertical-align:-3.29107pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 18.1261 12.5794\" width=\"18.1261pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,3.419,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,9.412,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,14.559,0)\"><use xlink:href=\"#g113-9\"></use></g></svg>;</span> <span><svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 22.3 11.5564\" width=\"22.3pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,4.498,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,14.669,0)\"></path></g></svg><span></span><span><svg height=\"11.5564pt\" style=\"vertical-align:-2.26807pt\" version=\"1.1\" viewbox=\"25.8821838 -9.28833 11.235 11.5564\" width=\"11.235pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,25.932,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,32.458,0)\"></path></g></svg>,</span></span> for certain general classes of bi-univalent functions. The results include a number of improvements and generalizations for well-known estimations. We also discuss bounds of <svg height=\"15.535pt\" style=\"vertical-align:-3.9436pt\" version=\"1.1\" viewbox=\"-0.0498162 -11.5914 64.2012 15.535\" width=\"64.2012pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-9\"></use></g><g transform=\"matrix(.013,0,0,-0.013,3.419,0)\"><use xlink:href=\"#g113-111\"></use></g><g transform=\"matrix(.013,0,0,-0.013,9.945,0)\"><use xlink:href=\"#g113-98\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,16.525,-5.741)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,15.938,3.784)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,24.377,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,34.914,0)\"><use xlink:href=\"#g113-98\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,40.907,3.132)\"><use xlink:href=\"#g50-51\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,45.339,3.132)\"><use xlink:href=\"#g50-111\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,49.998,3.132)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,55.558,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,60.559,0)\"><use xlink:href=\"#g113-9\"></use></g></svg> and consider several corollaries, remarks, and consequences of the results presented in this paper.","PeriodicalId":15840,"journal":{"name":"Journal of Function Spaces","volume":"130 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139764124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}