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Topological Algebra and its Applications最新文献

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Fixed point Theorem for Interpolative Mappings in F-Mv-Metric Space with an Application F-Mv-度量空间中插值映射的不动点定理及其应用
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2022-0120
Lucas Wangwe
{"title":"Fixed point Theorem for Interpolative Mappings in F-Mv-Metric Space with an Application","authors":"Lucas Wangwe","doi":"10.1515/taa-2022-0120","DOIUrl":"https://doi.org/10.1515/taa-2022-0120","url":null,"abstract":"Abstract The aim of this paper is to prove fixed point results for Interpolativemappings in F-Mv-metric spaces with an application which cannot be obtained from the corresponding results in metric spaces. We also provide an illustrative example to support our results. Besides discussing an application to Volterra-Fredholm type integral equations.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"141 - 153"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42842674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Compactness Principles for Topological Vector Spaces 拓扑向量空间的紧性原理
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2022-0131
M. Robdera
{"title":"Compactness Principles for Topological Vector Spaces","authors":"M. Robdera","doi":"10.1515/taa-2022-0131","DOIUrl":"https://doi.org/10.1515/taa-2022-0131","url":null,"abstract":"Abstract We show that the many of the canonical quantifications of interrelated concepts, centered around compactness in the setting of metric spaces, can be easily generalized to the setting of topological linear spaces. Among other things, we obtain a generalization of the Hausdorff Total Boundedness Principle, of the Grothendieck Compactness Principle, as well as of the Convex Compactness Principle for topological vector spaces.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"246 - 254"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43144542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On topologies on the underlying set of a topological monoid induced by its unitary extensions 拓扑半群下集上由其酉扩张诱导的拓扑
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2020-0110
B. Averbukh
{"title":"On topologies on the underlying set of a topological monoid induced by its unitary extensions","authors":"B. Averbukh","doi":"10.1515/taa-2020-0110","DOIUrl":"https://doi.org/10.1515/taa-2020-0110","url":null,"abstract":"Abstract Extensions of a given topological monoid where all its unitary Cauchy filters converge, can induce di˙erent topologies on its underlying set. We study properties of these topologies and prove a condition under which the initial topology of this monoid is one of them.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"25 - 35"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48615322","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new result on Branciari metric space using (α, γ)-contractive mappings (α， γ)-压缩映射在Branciari度量空间上的一个新结果
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2022-0117
J. Patil, B. Hardan, Ahmed A. Hamoud, A. Bachhav, H. Emadifar
{"title":"A new result on Branciari metric space using (α, γ)-contractive mappings","authors":"J. Patil, B. Hardan, Ahmed A. Hamoud, A. Bachhav, H. Emadifar","doi":"10.1515/taa-2022-0117","DOIUrl":"https://doi.org/10.1515/taa-2022-0117","url":null,"abstract":"Abstract In this work, a new common fixed point result by generalized contractive functions fulfilling the type of admissibility condition in a Hausdorff Branciari metric space with the support of C-functions, was obtained.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"103 - 112"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42135002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Extended Nb-cone metric spaces over Banach algebra with an application Banach代数上的扩展Nb锥度量空间及其应用
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2022-0116
Jerolina Fernandez, Neeraj Malviya, Santosh Kumar
{"title":"Extended Nb-cone metric spaces over Banach algebra with an application","authors":"Jerolina Fernandez, Neeraj Malviya, Santosh Kumar","doi":"10.1515/taa-2022-0116","DOIUrl":"https://doi.org/10.1515/taa-2022-0116","url":null,"abstract":"Abstract In this manuscript, we present a new notion which is named as extended Nb-cone metric space over Banach algebra and investigate some fixed point results in the new setting. In order to examine the validity of the underlying space we gave an application for existence and uniqueness of solution for a system of Fredholm integral equation. At last, we present some interesting examples to illustrate our work.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"94 - 102"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45227448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces 模b -度量空间中𝒵E−缩约的一些公共不动点结果
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2022-0127
Abdurrahman Büyükkaya, M. Öztürk
{"title":"Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces","authors":"Abdurrahman Büyükkaya, M. Öztürk","doi":"10.1515/taa-2022-0127","DOIUrl":"https://doi.org/10.1515/taa-2022-0127","url":null,"abstract":"Abstract The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces. Some of the outcomes have been applied to integral equations, and a new result has been put forward. Furthermore, a novel common fixed point theorem is verified by combining the obtained results with the integral-type contraction condition.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"196 - 215"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44205614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Common fixed point results via simulation type functions in non-Archimedean modular metric spaces and applications 非阿基米德模度量空间中模拟型函数的公共不动点结果及其应用
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2020-0109
M. Öztürk, E. Girgin
{"title":"Common fixed point results via simulation type functions in non-Archimedean modular metric spaces and applications","authors":"M. Öztürk, E. Girgin","doi":"10.1515/taa-2020-0109","DOIUrl":"https://doi.org/10.1515/taa-2020-0109","url":null,"abstract":"Abstract In this study, we demonstrate the existence and uniqueness of common fixed points of a generalized (α,β)− simulation contraction on a non-Archimedean modular metric space. We achieve some consequences in non-Archimedean modular metric spaces as an application, using the structure of a directed graph. Eventually, we contemplate the existence of solutions to a class of functional equations standing up dynamic programming with the help of our outcomes.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"13 - 24"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44577950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fixed point theorem for a sequence of multivalued nonself mappings in metrically convex metric spaces 度量凸度量空间中多值非自映射序列的不动点定理
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2020-0108
David C. Aron, Santosh Kumar
{"title":"Fixed point theorem for a sequence of multivalued nonself mappings in metrically convex metric spaces","authors":"David C. Aron, Santosh Kumar","doi":"10.1515/taa-2020-0108","DOIUrl":"https://doi.org/10.1515/taa-2020-0108","url":null,"abstract":"Abstract In this paper, a common fixed point theorem is demonstrated for a sequence of multivalued mappings which satisfy certain requirements in complete metric spaces. The results proved here will generalize and extend the results due to Ćirić [1]. Suitable examples are given at the end to support the results proved herein.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"1 - 12"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41580424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
New Iterative Methods for Finding Common Fixed Points of Two Non-self Mappings in a Real Hilbert Space 求实Hilbert空间中两个非自映射公共不动点的新迭代方法
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2022-0111
A. Tufa
{"title":"New Iterative Methods for Finding Common Fixed Points of Two Non-self Mappings in a Real Hilbert Space","authors":"A. Tufa","doi":"10.1515/taa-2022-0111","DOIUrl":"https://doi.org/10.1515/taa-2022-0111","url":null,"abstract":"Abstract In this paper, we introduce new iterative methods for approximating common fixed points of two non-self mappings in the framework of real Hilbert spaces. We establish weak and strong convergence results for approximating common fixed points of two nonexpansive non-self mappings. In addition, we establish strong convergence results for approximating common fixed points of two quasi-nonexpansive non-self mappings under appropriate conditions. Our results improve and generalize many of the results in the literature. Moreover, our findings will open the way forward for the study of iterative methods for finding common fixed points of two non-self mappings in Banach spaces more general than Hilbert spaces.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"36 - 46"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48965589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A geometric flow on null hypersurfaces of Lorentzian manifolds 洛伦兹流形零超曲面上的几何流
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2022-0126
F. Massamba, S. Ssekajja
{"title":"A geometric flow on null hypersurfaces of Lorentzian manifolds","authors":"F. Massamba, S. Ssekajja","doi":"10.1515/taa-2022-0126","DOIUrl":"https://doi.org/10.1515/taa-2022-0126","url":null,"abstract":"Abstract We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing conditions for the existence of constant mean curvature (CMC) null hypersurfaces, and leaves of constant scalar curvatures.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"185 - 195"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45224516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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