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Topological Algebra and its Applications最新文献

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On Nonlinear Implicit Neutral Generalized Hilfer Fractional Differential Equations with Terminal Conditions and Delay 具有终止条件和时滞的非线性隐式中立型广义Hilfer分数阶微分方程
Topological Algebra and its Applications Pub Date : 2022-01-01 DOI: 10.1515/taa-2022-0115
S. Bouriah, Abdelkrim Salim, M. Benchohra
{"title":"On Nonlinear Implicit Neutral Generalized Hilfer Fractional Differential Equations with Terminal Conditions and Delay","authors":"S. Bouriah, Abdelkrim Salim, M. Benchohra","doi":"10.1515/taa-2022-0115","DOIUrl":"https://doi.org/10.1515/taa-2022-0115","url":null,"abstract":"Abstract In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative. The Banach contraction principle and Krasnoselskii’s fixed point theorem are used to support the arguments. An illustration is provided to demonstrate the relevance of our results.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"77 - 93"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67317495","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: 6
On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero 带邻接零的有限部分等距的局部紧单阵
Topological Algebra and its Applications Pub Date : 2021-12-30 DOI: 10.1515/taa-2022-0130
O. Gutik, Pavlo Khylynskyi
{"title":"On a locally compact monoid of cofinite partial isometries of ℕ with adjoined zero","authors":"O. Gutik, Pavlo Khylynskyi","doi":"10.1515/taa-2022-0130","DOIUrl":"https://doi.org/10.1515/taa-2022-0130","url":null,"abstract":"Abstract Let 𝒞ℕ be a monoid which is generated by the partial shift α : n↦n +1 of the set of positive integers ℕ and its inverse partial shift β : n + 1 ↦n. In this paper we prove that if S is a submonoid of the monoid Iℕ∞ of all partial cofinite isometries of positive integers which contains Cscr;ℕ as a submonoid then every Hausdorff locally compact shift-continuous topology on S with adjoined zero is either compact or discrete. Also we show that the similar statement holds for a locally compact semitopological semigroup S with an adjoined compact ideal.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"233 - 245"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46163685","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
Fixed Point Theorem for Multivalued Non-self Mappings in Partial Symmetric Spaces 部分对称空间中多值非自映射的不动点定理
Topological Algebra and its Applications Pub Date : 2021-01-01 DOI: 10.1515/taa-2021-0102
Lucas Wangwe, Santosh Kumar
{"title":"Fixed Point Theorem for Multivalued Non-self Mappings in Partial Symmetric Spaces","authors":"Lucas Wangwe, Santosh Kumar","doi":"10.1515/taa-2021-0102","DOIUrl":"https://doi.org/10.1515/taa-2021-0102","url":null,"abstract":"Abstract In this paper, we proved a fixed point theorem for multi-valued non-self mappings in partial symmetric spaces. In doing so, we extended and generalized the results in literature by employing a convex structure for multi-valued non-self mappings using Rhoades type contractions. We also provided an illustrative example to support the results.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"9 1","pages":"20 - 36"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46924751","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
Meir-Keeler Contraction In Rectangular M−Metric Space 矩形M-度量空间中的Meir-Killer压缩
Topological Algebra and its Applications Pub Date : 2021-01-01 DOI: 10.1515/taa-2021-0106
Mohammad Asim, Samad Mujahid, I. Uddin
{"title":"Meir-Keeler Contraction In Rectangular M−Metric Space","authors":"Mohammad Asim, Samad Mujahid, I. Uddin","doi":"10.1515/taa-2021-0106","DOIUrl":"https://doi.org/10.1515/taa-2021-0106","url":null,"abstract":"Abstract In this paper, we prove some fixed point theorems for a Meir-Keeler type Contraction in rectangular M−metric space. Thus, our results extend and improve very recent results in fixed point theory.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"9 1","pages":"96 - 104"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49507333","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: 4
A note on bf-spaces and on the distribution of the functor of the Dieudonné completion 关于Bf空间和Dieudonné完成函数分布的说明
Topological Algebra and its Applications Pub Date : 2021-01-01 DOI: 10.1515/taa-2021-0201
M. Sanchis, Ó. Valero
{"title":"A note on bf-spaces and on the distribution of the functor of the Dieudonné completion","authors":"M. Sanchis, Ó. Valero","doi":"10.1515/taa-2021-0201","DOIUrl":"https://doi.org/10.1515/taa-2021-0201","url":null,"abstract":"Abstract A subset B of a space X is said to be bounded (in X) if the restriction to B of every real-valued continuous function on X is bounded. A real-valued function on X is called bf-continuous if its restriction to each bounded subset of X has a continuous extension to the whole space X. bf-spaces are spaces such that bf-continuous functions are continuous. We take advantage to the exponential map in the realm of bf-spaces in order to study bf-extensions of bf-continuous functions. This allows us to improve several results concerning the distribution of the functor of the Dieudonné completion. We also prove that a relative version of the classical Glicksberg’s theorem characterizing the product of two pseudocompact spaces is valid for kr-spaces. In the last section we show that bf-hemibounded groups are Moscow spaces and, consequently, they are strong-PT-groups.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"9 1","pages":"118 - 125"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45502563","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
Approximate fixed points and fixed points for multi-valued almost E-contractions 多值概e缩的近似不动点和不动点
Topological Algebra and its Applications Pub Date : 2021-01-01 DOI: 10.1515/taa-2021-0100
N. H. Hoc
{"title":"Approximate fixed points and fixed points for multi-valued almost E-contractions","authors":"N. H. Hoc","doi":"10.1515/taa-2021-0100","DOIUrl":"https://doi.org/10.1515/taa-2021-0100","url":null,"abstract":"Abstract In this paper, we introduce the concept of multi-valued almost E-contractions. We then present some approximate fixed point and fixed point results for such mappings in metric spaces. Our results generalize and improve several well-known results in literature. We also provide several illustrative examples to compare our findings with some earlier results. An application to homotopy theory is given.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"9 1","pages":"80 - 95"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47233429","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
Improving KKM Theory on General Metric Type Spaces 一般度量型空间上KKM理论的改进
Topological Algebra and its Applications Pub Date : 2021-01-01 DOI: 10.1515/taa-2020-0101
Sehie Park
{"title":"Improving KKM Theory on General Metric Type Spaces","authors":"Sehie Park","doi":"10.1515/taa-2020-0101","DOIUrl":"https://doi.org/10.1515/taa-2020-0101","url":null,"abstract":"Abstract A generalized metric type space is a generic name for various spaces similar to hyperconvex metric spaces or extensions of them. The purpose of this article is to introduce some KKM theoretic works on generalized metric type spaces and to show that they can be improved according to our abstract convex space theory. Most of these works are chosen on the basis that they can be improved by following our theory. Actually, we introduce abstracts of each work or some contents, and add some comments showing how to improve them.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"9 1","pages":"1 - 12"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2020-0101","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41324894","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 fixed point theorem involving rational expressions without using Picard iteration 一个不使用Picard迭代的有理表达式不动点定理
Topological Algebra and its Applications Pub Date : 2021-01-01 DOI: 10.1515/taa-2020-0104
A. Fulga
{"title":"A fixed point theorem involving rational expressions without using Picard iteration","authors":"A. Fulga","doi":"10.1515/taa-2020-0104","DOIUrl":"https://doi.org/10.1515/taa-2020-0104","url":null,"abstract":"Abstract In this paper, we consider a certain fixed point theorem that contains some rational expressions. The main aim of this paper is to prove a fixed point theorem without using the Picard iteration.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"9 1","pages":"72 - 79"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49267849","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
Algebraic entropy of endomorphisms of M-sets m集自同态的代数熵
Topological Algebra and its Applications Pub Date : 2021-01-01 DOI: 10.1515/taa-2020-0106
N. Zava
{"title":"Algebraic entropy of endomorphisms of M-sets","authors":"N. Zava","doi":"10.1515/taa-2020-0106","DOIUrl":"https://doi.org/10.1515/taa-2020-0106","url":null,"abstract":"Abstract The usual notion of algebraic entropy associates to every group (monoid) endomorphism a value estimating the chaos created by the self-map. In this paper, we study the extension of this notion to arbitrary sets endowed with monoid actions, providing properties and relating it with other entropy notions. In particular, we focus our attention on the relationship with the coarse entropy of bornologous self-maps of quasi-coarse spaces. While studying the connection, an extension of a classification result due to Protasov is provided.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"9 1","pages":"53 - 71"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48034073","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
On interpolative Hardy-Rogers contractive of Suzuki type mappings 关于Suzuki型映射的内插Hardy-Rogers压缩
Topological Algebra and its Applications Pub Date : 2021-01-01 DOI: 10.1515/taa-2020-0102
Seher Sultan Yeşilkaya
{"title":"On interpolative Hardy-Rogers contractive of Suzuki type mappings","authors":"Seher Sultan Yeşilkaya","doi":"10.1515/taa-2020-0102","DOIUrl":"https://doi.org/10.1515/taa-2020-0102","url":null,"abstract":"Abstract In this paper, we obtain a fixed point theorem ω- ψ-interpolative Hardy-Rogers contractive of Suzuki type mappings. In the following, we present an example to illustrate the new theorem is applicable. Subsequently, some results are given. These results generalize several new results present in the literature.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"9 1","pages":"13 - 19"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/taa-2020-0102","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49186252","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: 11
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