Journal of Inequalities and Applications最新文献

{"title":"Continuity of the solutions sets for parametric set optimization problems","authors":"Manli Yang, Taiyong Li, Guanghui Xu","doi":"10.1186/s13660-024-03138-w","DOIUrl":"https://doi.org/10.1186/s13660-024-03138-w","url":null,"abstract":"The current study focuses on exploring the stability of solution sets pertaining to set optimization problems, particularly with regard to the set order relation outlined by Karaman et al. 2018. Sufficient conditions are provided for the lower semicontinuity, upper semicontinuity, and compactness of m-minimal solution mappings in parametric set optimization, where the involved set-valued mapping is Lipschitz continuous.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"21 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140836903","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":"S-Pata-type contraction: a new approach to fixed-point theory with an application","authors":"Deep Chand, Yumnam Rohen, Naeem Saleem, Maggie Aphane, Asima Razzaque","doi":"10.1186/s13660-024-03136-y","DOIUrl":"https://doi.org/10.1186/s13660-024-03136-y","url":null,"abstract":"In this paper, we introduce new types of contraction mappings named S-Pata-type contraction mapping and Generalized S-Pata-type contraction mapping in the framework of S-metric space. Then, we prove some new fixed-point results for S-Pata-type contraction mappings and Generalized S-Pata-type contraction mappings. To support our results, we provide examples to illustrate our findings and also apply these results to the ordinary differential equation to strengthen our conclusions.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"1 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140609946","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":"Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications","authors":"Tahair Rasham, Romana Qadir, Fady Hasan, R. P. Agarwal, Wasfi Shatanawi","doi":"10.1186/s13660-024-03115-3","DOIUrl":"https://doi.org/10.1186/s13660-024-03115-3","url":null,"abstract":"The objective of this research is to present new fixed point theorems for two separate families of fuzzy-dominated mappings. These mappings must satisfy a unique locally contraction in a complete b-multiplicative metric space. Also, we have obtained novel results for families of fuzzy-dominated mappings on a closed ball that meet the requirements of a generalized locally contraction. This research introduces new and challenging fixed-point problems for families of ordered fuzzy-dominated mappings in ordered complete b-multiplicative metric spaces. Moreover, we demonstrate a new concept for families of fuzzy graph-dominated mappings on a closed ball in these spaces. Additionally, we present novel findings for graphic contraction endowed with graphic structure. These findings are groundbreaking and provide a strong foundation for future research in this field. To demonstrate the uniqueness of our novel findings, we provide evidence of their applicability in obtaining the common solution of integral and fractional differential equations. Our findings have resulted in modifications to several contemporary and classical results in the research literature. This provides further evidence of the originality and impact of our work.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"48 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575077","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":"Fixed point results involving a finite family of enriched strictly pseudocontractive and pseudononspreading mappings","authors":"Imo Kalu Agwu, Hüseyin Işık, Donatus Ikechi Igbokwe","doi":"10.1186/s13660-024-03120-6","DOIUrl":"https://doi.org/10.1186/s13660-024-03120-6","url":null,"abstract":"In this study, we introduce a method for finding common fixed points of a finite family of $(eta _{i}, k_{i})$ -enriched strictly pseudocontractive (ESPC) maps and $(eta _{i}, beta _{i})$ -enriched strictly pseudononspreading (ESPN) maps in the setting of real Hilbert spaces. Further, we prove the strong convergence theorem of the proposed method under mild conditions on the control parameters. Our main results are also applied in proving strong convergence theorems for $eta _{i}$ -enriched nonexpansive, strongly inverse monotone, and strictly pseudononspreading maps. Some nontrivial examples are given, and the results obtained extend, improve, and generalize several well-known results in the current literature.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"56 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140609783","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":"Sharp coefficient inequalities of starlike functions connected with secant hyperbolic function","authors":"Mohsan Raza, Khadija Bano, Qin Xin, Fairouz Tchier, Sarfraz Nawaz Malik","doi":"10.1186/s13660-024-03134-0","DOIUrl":"https://doi.org/10.1186/s13660-024-03134-0","url":null,"abstract":"This article comprises the study of class $mathcal{S}_{E}^{ast }$ that represents the class of normalized analytic functions f satisfying ${varsigma mathsf{f}}^{prime }(z)/mathsf{f}( {varsigma })prec sec h ( varsigma ) $ . The geometry of functions of class $mathcal{S}_{E}^{ast }$ is star-shaped, which is confined in the symmetric domain of a secant hyperbolic function. We find sharp coefficient results and sharp Hankel determinants of order two and three for functions in the class $mathcal{S}_{E}^{ast }$ . We also investigate the same sharp results for inverse coefficients.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"45 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140574889","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":"Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents","authors":"Salah Boulaaras, Abdelbaki Choucha, Djamel Ouchenane, Rashid Jan","doi":"10.1186/s13660-024-03132-2","DOIUrl":"https://doi.org/10.1186/s13660-024-03132-2","url":null,"abstract":"In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case of absence of the source term $f_{1}=f_{2}=0$ .","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"75 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140574890","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 computational approach for optimal control of switched systems","authors":"Xi Zhu, Yanqin Bai, Changjun Yu, Kok Lay Teo","doi":"10.1186/s13660-024-03124-2","DOIUrl":"https://doi.org/10.1186/s13660-024-03124-2","url":null,"abstract":"The combination of the time-scaling transformation and control parameterization has proven to be an effective approach in addressing optimal control problems involving switching systems with predefined subsystem sequences. However, this approach has certain limitations. First, the number of control switchings is required to be no less than the number of subsystem switchings. Second, the switching of the subsystem must be accompanied by the switching of the control. Third, this scheme introduces many hyperparameters, leading to combinatorial explosion. To address these drawbacks, we introduce a novel computational approach such that the control switching can be independent of subsystem switching. The superiority of this novel approach can be clearly observed from the solutions obtained using the proposed method for solving two illustrative examples.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"40 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575069","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":"Correction to: New refinements of the Cauchy–Bunyakovsky in equality","authors":"Saeed Montazeri","doi":"10.1186/s13660-024-03135-z","DOIUrl":"https://doi.org/10.1186/s13660-024-03135-z","url":null,"abstract":"<p>Correction to: <i>J. Inequal. Appl.</i> <b>2023</b>, 161 (2023). https://doi.org/10.1186/s13660-023-03074-1</p><p>Following publication of the original article [1], the author reported an error in the affiliation. The revised affiliation is indicated hereafter. </p><ul>\u0000<li>\u0000<p>The incorrect affiliation reads:</p>\u0000<p><sup>1</sup>Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran</p>\u0000</li>\u0000<li>\u0000<p>The correct affiliation should read:</p>\u0000<p><sup>1</sup>Independent researcher, Tehran, Iran</p>\u0000</li>\u0000</ul><p> All the changes requested are implemented in this correction article.</p><ol data-track-component=\"outbound reference\"><li data-counter=\"1.\"><p> Montazeri, S.: New refinements of the Cauchy–Bunyakovsky inequality. J. Inequal. Appl. <b>2023</b>, 161 (2023). https://doi.org/10.1186/s13660-023-03074-1</p><p>Article MathSciNet Google Scholar </p></li></ol><p>Download references<svg aria-hidden=\"true\" focusable=\"false\" height=\"16\" role=\"img\" width=\"16\"><use xlink:href=\"#icon-eds-i-download-medium\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"></use></svg></p><h3>Authors and Affiliations</h3><ol><li><p>Independent researcher, Tehran, Iran</p><p>Saeed Montazeri</p></li></ol><span>Authors</span><ol><li><span>Saeed Montazeri</span>View author publications<p>You can also search for this author in <span>PubMed<span> </span>Google Scholar</span></p></li></ol><h3>Corresponding author</h3><p>Correspondence to Saeed Montazeri.</p><h3>Publisher’s Note</h3><p>Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p><p><b>Open Access</b> This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.</p>\u0000<p>Reprints and permissions</p><img alt=\"Check for updates. Verify currency and authenticity via CrossMark\" height=\"81\" loading=\"lazy\" src=\"data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjgxIiB3aWR0aD0iNTciIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyI+PGcgZmlsbD0ibm9uZSIgZmlsbC1ydWxlPSJldmVub2RkIj48cGF0aCBkPSJtMTcuMzUgMzUuNDUgMjEuMy0xNC4ydi0xNy4wM2gtMjEuMyIgZmlsbD0iIzk4OTg5OCIvPjxwYXRoIGQ9Im0zOC42NSAzNS40NS0yMS4zLTE0LjJ2LTE3LjAzaDIxLjMiIGZpbGw9IiM3NDc0NzQiLz48cGF0aCBkPSJtMjggLjVjLTEyLjk4IDAtMjMuNSAxMC","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"31 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575071","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":"Analytical and geometrical approach to the generalized Bessel function","authors":"Teodor Bulboacă, Hanaa M. Zayed","doi":"10.1186/s13660-024-03117-1","DOIUrl":"https://doi.org/10.1186/s13660-024-03117-1","url":null,"abstract":"In continuation of Zayed and Bulboacă work in (J. Inequal. Appl. 2022:158, 2022), this paper discusses the geometric characterization of the normalized form of the generalized Bessel function defined by $$begin{aligned} mathrm{V}_{rho,r}(z):=z+sum_{k=1}^{infty} frac{(-r)^{k}}{4^{k}(1)_{k}(rho )_{k}}z^{k+1}, quad zin mathbb{U}, end{aligned}$$ for $rho, rin mathbb{C}^{ast}:=mathbb{C}setminus {0}$ . Precisely, we will use a sharp estimate for the Pochhammer symbol, that is, $Gamma (a+n)/Gamma (a+1)>(a+alpha )^{n-1}$ , or equivalently $(a)_{n}>a(a+alpha )^{n-1}$ , that was firstly proved by Baricz and Ponnusamy for $nin mathbb{N}setminus {1,2}$ , $a>0$ and $alpha in [0,1.302775637ldots ]$ in (Integral Transforms Spec. Funct. 21(9):641–653, 2010), and then proved in our paper by another method to improve it using the partial derivatives and the two-variable functions’ extremum technique for $nin mathbb{N}setminus {1,2}$ , $a>0$ and $0leq alpha leq sqrt{2}$ , and used to investigate the orders of starlikeness and convexity. We provide the reader with some examples to illustrate the efficiency of our theory. Our results improve, complement, and generalize some well-known (nonsharp) estimates, as seen in the Concluding Remarks and Outlook section.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"41 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575076","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":"On the multiparameterized fractional multiplicative integral inequalities","authors":"Mohammed Bakheet Almatrafi, Wedad Saleh, Abdelghani Lakhdari, Fahd Jarad, Badreddine Meftah","doi":"10.1186/s13660-024-03127-z","DOIUrl":"https://doi.org/10.1186/s13660-024-03127-z","url":null,"abstract":"We introduce a novel multiparameterized fractional multiplicative integral identity and utilize it to derive a range of inequalities for multiplicatively s-convex mappings in connection with different quadrature rules involving one, two, and three points. Our results cover both new findings and established ones, offering a holistic framework for comprehending these inequalities. To validate our outcomes, we provide an illustrative example with visual aids. Furthermore, we highlight the practical significance of our discoveries by applying them to special means of real numbers within the realm of multiplicative calculus.","PeriodicalId":16088,"journal":{"name":"Journal of Inequalities and Applications","volume":"28 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575072","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}