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Topological Algebra and its Applications最新文献

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Fermatean fuzzy semi-prime ideals of ordered semigroups 有序半群的费尔马模糊半素数理想
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2023-0102
Amal Kumar Adak, None Nilkamal, Navendu Barman
{"title":"Fermatean fuzzy semi-prime ideals of ordered semigroups","authors":"Amal Kumar Adak, None Nilkamal, Navendu Barman","doi":"10.1515/taa-2023-0102","DOIUrl":"https://doi.org/10.1515/taa-2023-0102","url":null,"abstract":"Abstract Fermatean fuzzy sets (FFSs) are invented to resolve the underlying limitations of intuitionistic fuzzy sets and Pythagorean fuzzy sets. The major goal of this study is to introduce Fermatean fuzzy semi-prime ideals of ordered semigroups. Fermatean fuzzy semi-prime ideals and Fermatean fuzzy prime ideals are introduced. Also, we illustrate some novel concepts to construct Fermatean fuzzy intra-regular and regular ideals. Using the conception of function of the characteristic of ordered semigroups of FFSs, we show certain fundamental facts. Several relations are given for the family of Fermatean fuzzy regular ideals of ordered semigroups.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"153 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136003246","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 fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces 双曲空间中一对Reich-Szuki型非扩张映射的不动点定理
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2022-0132
S. Valappil, Shaini Pulickakunnel
{"title":"Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces","authors":"S. Valappil, Shaini Pulickakunnel","doi":"10.1515/taa-2022-0132","DOIUrl":"https://doi.org/10.1515/taa-2022-0132","url":null,"abstract":"Abstract In this article, we prove some fixed-point results for a pair of Reich-Suzuki-type nonexpansive mappings in uniformly convex W W -hyperbolic spaces. We introduce a new iterative scheme and establish its convergence to the fixed points of a pair of Reich-Suzuki-type nonexpansive mappings. We illustrate our main result with an example, and using Matlab code, it is observed that our iteration converges faster than the iteration defined by Garodia et al. for a pair of Reich-Suzuki-type nonexpansive mappings. An application is given to substantiate our main result.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48059027","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 theorems for non-linear non-self contractive mappings in convex metric spaces 凸度量空间中非线性非自压缩映射的公共不动点定理
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2022-0122
Santosh Kumar, David C. Aron
{"title":"Common fixed-point theorems for non-linear non-self contractive mappings in convex metric spaces","authors":"Santosh Kumar, David C. Aron","doi":"10.1515/taa-2022-0122","DOIUrl":"https://doi.org/10.1515/taa-2022-0122","url":null,"abstract":"Abstract In this article, two pairs of non-self mappings satisfying a collection of non-linear contractive conditions in convex metric space are considered to prove a common fixed-point theorem. An appropriate example is provided to support the results proved herein. In addition, we have proved a theorem as an application of our main result. Our results generalize and extend several existing theorems in the literature.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48655567","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
λ-Commuting of bounded linear operators on ultrametric Banach spaces and determinant spectrum of ultrametric matrices 超度量Banach空间上有界线性算子的λ-交换与超度量矩阵的行列式谱
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2023-0103
Jawad Ettayb
{"title":"<i>λ</i>-Commuting of bounded linear operators on ultrametric Banach spaces and determinant spectrum of ultrametric matrices","authors":"Jawad Ettayb","doi":"10.1515/taa-2023-0103","DOIUrl":"https://doi.org/10.1515/taa-2023-0103","url":null,"abstract":"Abstract In this article, we study the <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>λ</m:mi> </m:math> lambda -commuting of bounded linear operators on ultrametric Banach spaces and the determinant spectrum of ultrametric matrices. We discuss some properties of <m:math xmlns:m=\"http://www.w3.org/1998/Math/MathML\"> <m:mi>λ</m:mi> </m:math> lambda -commuting of bounded linear operators and the determinant spectrum of ultrametric matrices. Finally, we provide some examples to support our work.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135956733","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
Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space 双曲度量空间中可数族非自Lipschitz映射的Mann-Dotson算法
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2022-0134
P. Patel, Rahul Shukla
{"title":"Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space","authors":"P. Patel, Rahul Shukla","doi":"10.1515/taa-2022-0134","DOIUrl":"https://doi.org/10.1515/taa-2022-0134","url":null,"abstract":"Abstract The aim of this article is to present some Δ Delta -convergence and strong convergence results for a countable family of non-self mappings. More precisely, we employ Mann-Dotson’s algorithm to approximate, common fixed points of a countable family of non-self L n {L}_{n} -Lipschitz mappings in hyperbolic metric spaces.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46491572","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 Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces Banach空间非线性问题公解的halpern型算法
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2022-0133
H. Zegeye, O. A. Boikanyo
{"title":"A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces","authors":"H. Zegeye, O. A. Boikanyo","doi":"10.1515/taa-2022-0133","DOIUrl":"https://doi.org/10.1515/taa-2022-0133","url":null,"abstract":"Abstract In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f-pseudocontractive mappings in reflexive real Banach spaces. In addition, we prove a strong convergence theorem for the sequence generated by the algorithm. As a consequence, we obtain a scheme that converges strongly to a common f-fixed point of continuous f-pseudocontractive mappings and a scheme that converges strongly to a common zero of continuous monotone mappings in Banach spaces. Furthermore, we provide a numerical example to illustrate the implementability of our algorithm.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46756593","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 variation of the class of statistical γ covers 统计γ覆盖类的一种变异
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2023-0101
Prasenjit Bal, D. Rakshit
{"title":"A variation of the class of statistical γ covers","authors":"Prasenjit Bal, D. Rakshit","doi":"10.1515/taa-2023-0101","DOIUrl":"https://doi.org/10.1515/taa-2023-0101","url":null,"abstract":"Abstract In this article, we introduce s-s- γ gamma cover using the notion of star operator, which is an extension of the previous results on s- γ gamma covers. We also define s-s-dense set to address the issue that a statistical dense subset of an s-s- γ gamma cover is not an s-s- γ gamma cover. Furthermore, we study some results on s- γ gamma covers in subspace topology.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43086982","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 theorems of enriched multivalued mappings via sequentially equivalent Hausdorff metric 基于序列等价Hausdorff度量的丰富多值映射的不动点定理
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2022-0136
M. Abbas, Rizwana Anjum, Muhammad Haris Tahir
{"title":"Fixed point theorems of enriched multivalued mappings via sequentially equivalent Hausdorff metric","authors":"M. Abbas, Rizwana Anjum, Muhammad Haris Tahir","doi":"10.1515/taa-2022-0136","DOIUrl":"https://doi.org/10.1515/taa-2022-0136","url":null,"abstract":"Abstract Recently, Abbas et al. [Enriched multivalued contractions with applications to differential inclusions and dynamic programming, Symmetry 13(8) (2021), 1350] obtained an interesting generalization of the Nadler fixed point theorem by introducing the concept of enriched multivalued contraction in the framework of Banach spaces. In this article, we define a new class of metrics on the family of closed and bounded subsets of a given metric space. Furthermore, fixed point theorems were established for enriched multi-valued contractions by substituting the Hausdorff metric with metrics from a specific class that are either metrically or sequentially equivalent to the Hausdorff metric. Some examples are provided to illustrate the concepts and results presented herein. These results improve, unify, and generalize several comparable results in the literature.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49332856","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 theorem of rational contractive mappings in dislocated metric spaces 位错度量空间中有理压缩映射的几个公共不动点定理
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2022-0135
Uma Maheswari Jeevanandam, Anbarasan Annadurai, Gunaseelan Mani, Santosh Kumar
{"title":"Some common fixed point theorem of rational contractive mappings in dislocated metric spaces","authors":"Uma Maheswari Jeevanandam, Anbarasan Annadurai, Gunaseelan Mani, Santosh Kumar","doi":"10.1515/taa-2022-0135","DOIUrl":"https://doi.org/10.1515/taa-2022-0135","url":null,"abstract":"Abstract We improve the rational contractive condition and prove the common fixed point in the dislocated metric spaces. In addition, the new generalized rational contraction has existence of a common solution for a system of integral equations.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67317717","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
Incomplete Fermatean fuzzy preference relations and group decision-making 不完全Fermatean模糊偏好关系与群体决策
Topological Algebra and its Applications Pub Date : 2023-01-01 DOI: 10.1515/taa-2022-0125
N. Şimşek, M. Kirişci
{"title":"Incomplete Fermatean fuzzy preference relations and group decision-making","authors":"N. Şimşek, M. Kirişci","doi":"10.1515/taa-2022-0125","DOIUrl":"https://doi.org/10.1515/taa-2022-0125","url":null,"abstract":"Abstract There may be cases where experts do not have in-depth knowledge of the problem to be solved in decision-making problems. In such cases, experts may fail to express their views on certain aspects of the problem, resulting in incomplete preferences, in which some preference values are not provided or are missing. In this article, we present a new model for group decision-making (GDM) methods in which experts’ preferences can be expressed as incomplete Fermatean fuzzy preference relations. This model is guided by the additive-consistency property and only uses the preference values the expert provides. An additive consistency definition characterized by a Fermatean fuzzy priority vector has been given. The additive consistency property is also used to measure the level of consistency of the information provided by the experts. The proposed additive consistency definition’s property is presented, as well as a model for obtaining missing judgments in incomplete Fermatean fuzzy preference relations. We present a method for adjusting the inconsistency for Fermatean fuzzy preference relations, a model for obtaining the priority vector, and a method for increasing the consensus degrees of Fermatean fuzzy preference relations. In addition, we present a GDM method in environments with incomplete Fermatean fuzzy preference relations. To show that our method outperforms existing GDM methods in incomplete Fermatean fuzzy preference relations environments, we have provided an example and compared it with some methods. It has been seen that our proposed GDM method is beneficial for GDM in deficient Fermatean fuzzy preference relation environments and produces meaningful results for us.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46222752","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
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