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Applied general topology最新文献

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Strong Fréchet properties of spaces constructed from squares and AD families 由正方形和AD族构成的空间的强变形性质
Applied general topology Pub Date : 2023-10-02 DOI: 10.4995/agt.2023.18504
William Chen-Mertens, César Corral-Rojas, Paul J. Szeptycki
{"title":"Strong Fréchet properties of spaces constructed from squares and AD families","authors":"William Chen-Mertens, César Corral-Rojas, Paul J. Szeptycki","doi":"10.4995/agt.2023.18504","DOIUrl":"https://doi.org/10.4995/agt.2023.18504","url":null,"abstract":"We answer questions of Arhangel'skiĭ using spaces defined from combinatorial objects. We first establish further convergence properties of a space constructed from □ ( κ ) showing it is Fréchet-Urysohn for finite sets and a w-space that is not a W-space. We also show that under additional assumptions it may be not bi-sequential, and so providing a consistent example of an absolutely Fréchet α1 space that is not bisequential. In addition, if we do not require the space being α1, we can construct a ZFC example of a countable absolutely Fréchet space that is not bisequential from an almost disjoint family of subsets of the natural numbers.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135835480","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
Ćirić-generalized contraction via wt−distance Ćirić-generalized通过wt -距离收缩
Applied general topology Pub Date : 2023-10-02 DOI: 10.4995/agt.2023.19268
Hosein Lakzian, Darko Kocev, Vladimir Rakočević
{"title":"Ćirić-generalized contraction via wt−distance","authors":"Hosein Lakzian, Darko Kocev, Vladimir Rakočević","doi":"10.4995/agt.2023.19268","DOIUrl":"https://doi.org/10.4995/agt.2023.19268","url":null,"abstract":"In this present paper, besides other things, we introduce the concept of Ćirić-generalized contractions via wt−distance and then we will prove some new fixed point results for these mappings, which generalize and improve fixed point theorems by L. B. Ćirić in [9, 8, 10] and also, B. E. Rhoades in [23]. Some examples illustrate usefulness of the new results. At the end, we will give some applications to nonlinear fractional differential equations.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135893081","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 note on the fixed point theorem of F-contraction mappings in rectangular M-metric space 关于矩形m -度量空间中f -收缩映射不动点定理的注记
Applied general topology Pub Date : 2023-10-02 DOI: 10.4995/agt.2023.18557
Mujahid Abbas, Rizwan Anjum, Rabia Anwar
{"title":"A note on the fixed point theorem of F-contraction mappings in rectangular M-metric space","authors":"Mujahid Abbas, Rizwan Anjum, Rabia Anwar","doi":"10.4995/agt.2023.18557","DOIUrl":"https://doi.org/10.4995/agt.2023.18557","url":null,"abstract":"In this note, we show that the main result (Theorem 3.2) due to Asim et al. (Appl. Gen. Topol., 23(2), 363-376 (2022) https://doi.org/10.4995/agt.2022.17418) is still valid if we remove the assumption of continuity of the mapping.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135895241","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
Rough representations of rough topological groups 粗糙拓扑群的粗糙表示
Applied general topology Pub Date : 2023-10-02 DOI: 10.4995/agt.2023.18577
Essoyomewè Kieou, Mawoussi Todjro, Yaogan Mensah
{"title":"Rough representations of rough topological groups","authors":"Essoyomewè Kieou, Mawoussi Todjro, Yaogan Mensah","doi":"10.4995/agt.2023.18577","DOIUrl":"https://doi.org/10.4995/agt.2023.18577","url":null,"abstract":"In this paper, the concept of rough representation of a rough topological group on a Banach space is explored. Mainly, the continuity and the irreducibility of rough representations are studied.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135894722","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 points results for various types of interpolative cyclic contraction 各种类型的插值循环收缩的不动点结果
Applied general topology Pub Date : 2023-10-02 DOI: 10.4995/agt.2023.19515
Mohamed Edraoui, Amine El koufi, Soukaina Semami
{"title":"Fixed points results for various types of interpolative cyclic contraction","authors":"Mohamed Edraoui, Amine El koufi, Soukaina Semami","doi":"10.4995/agt.2023.19515","DOIUrl":"https://doi.org/10.4995/agt.2023.19515","url":null,"abstract":"In this paper, we introduce four new types of contractions called in this order Kannan-type cyclic contraction via interpolation, interpolative Ćirić-Reich-Rus type cyclic contraction, and we prove the existence and uniqueness for a fixed point for each situation.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135830239","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
★-quasi-pseudometrics on algebraic structures 代数结构上的拟伪度量
Applied general topology Pub Date : 2023-10-02 DOI: 10.4995/agt.2023.19303
Shi-Yao He, Ying-Ying Jin, Li-Hong Xie
{"title":"★-quasi-pseudometrics on algebraic structures","authors":"Shi-Yao He, Ying-Ying Jin, Li-Hong Xie","doi":"10.4995/agt.2023.19303","DOIUrl":"https://doi.org/10.4995/agt.2023.19303","url":null,"abstract":"In this paper, we introduce some concepts of ★-(quasi)-pseudometric spaces, and give an example which shows that there is a ★-quasi-pseudometric space which is not a quasi-pseudometric space. We also study the conditions under which ★-quasi-pseudometric semitopological groups are paratopological groups or topological groups.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135893092","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 points of set-valued mappings in Menger probabilistic metric spaces endowed with an amorphous binary relation 具有非定形二元关系的Menger概率度量空间中集值映射的不动点
Applied general topology Pub Date : 2023-10-02 DOI: 10.4995/agt.2023.18993
Gopi Prasad, Sheetal Deshwal, Rupesh K. Srivastav
{"title":"Fixed points of set-valued mappings in Menger probabilistic metric spaces endowed with an amorphous binary relation","authors":"Gopi Prasad, Sheetal Deshwal, Rupesh K. Srivastav","doi":"10.4995/agt.2023.18993","DOIUrl":"https://doi.org/10.4995/agt.2023.18993","url":null,"abstract":"In this paper, we prove the existence of fixed point results for set-valued mappings in Menger probabilistic metric spaces equipped with an amorphous binary relation and a Hadžić -type t-norm. For the usability of such findings we present a Kelisky-Rivlin type result for a class of Bernstein type special operators introduced by Deo et. al. [Appl. Math. Comput. 201, (2008), 604-612 ] on the space C([ 0, n/n+1]). In this way, these investigations extend, modify and generalize some prominent recent fixed point results of the existing literature.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135835285","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
Remarks on fixed point assertions in digital topology, 6 6 .数字拓扑中的不动点断言
Applied general topology Pub Date : 2023-10-02 DOI: 10.4995/agt.2023.18996
Laurence Boxer
{"title":"Remarks on fixed point assertions in digital topology, 6","authors":"Laurence Boxer","doi":"10.4995/agt.2023.18996","DOIUrl":"https://doi.org/10.4995/agt.2023.18996","url":null,"abstract":"This paper continues a series discussing flaws in published assertions concerning fixed points in digital metric spaces.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135894724","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
Τ-quasi-Cauchy spaces - a non-symmetric theory of completeness and completion Τ-quasi-Cauchy空间-完备和补全的非对称理论
IF 0.8
Applied general topology Pub Date : 2023-04-05 DOI: 10.4995/agt.2023.18783
G. Jäger
{"title":"Τ-quasi-Cauchy spaces - a non-symmetric theory of completeness and completion","authors":"G. Jäger","doi":"10.4995/agt.2023.18783","DOIUrl":"https://doi.org/10.4995/agt.2023.18783","url":null,"abstract":"Based on the concept of Cauchy pair Τ-filters, we develop an axiomatic theory of completeness for non-symmetric spaces, such as Τ-quasi-uniform (limit) spaces or L-metric spaces. We show that the category of Τ-quasi-Cauchy spaces is topological and Cartesian closed and we construct a finest completion for a non-complete Τ-quasi-Cauchy space. In the special case of symmetry, Τ-quasi-Cauchy spaces can be identified with Τ-Cauchy spaces.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"4 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76005641","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 setwise betweenness 在固定的中间
IF 0.8
Applied general topology Pub Date : 2023-04-05 DOI: 10.4995/agt.2023.18061
Q. Shakir
{"title":"On setwise betweenness","authors":"Q. Shakir","doi":"10.4995/agt.2023.18061","DOIUrl":"https://doi.org/10.4995/agt.2023.18061","url":null,"abstract":"In this article, we investigate the notion of setwise betweenness, a concept introduced by P. Bankston as a generalisation of pointwise betweenness. In the context of continua, we say that a subset C of a continuum X is between distinct points a and b of X if every subcontinuum K of  X containing both a and b intersects C. The notion of an interval [a,b] then arises naturally. Further interesting questions are derived from considering such intervals within an associated hyperspace on X. We explore these ideas within the context of the Vietoris topology and n-symmetric product hyperspaces on all nonempty closed subsets of a topological space X, CL(X). Moreover, an alternative pointwise interval, derived from setwise intervals, is introduced.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"15 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84617215","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
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