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Applied general topology最新文献

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On w-Isbell-convexity 在w-Isbell-convexity
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.15739
O. Olela Otafudu, Katlego Sebogodi
{"title":"On w-Isbell-convexity","authors":"O. Olela Otafudu, Katlego Sebogodi","doi":"10.4995/agt.2022.15739","DOIUrl":"https://doi.org/10.4995/agt.2022.15739","url":null,"abstract":"Chistyakov introduced and developed a concept of modular metric for an arbitrary set in order to generalise the classical notion of modular on a linear space. In this article, we introduce the theory of hyperconvexity in the setting of modular pseudometric that is herein called w-Isbell-convexity. We show that on a modular set, w-Isbell-convexity is equivalent to hyperconvexity whenever the modular pseudometric is continuous from the right on the set of positive numbers.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"30 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75342348","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
Numerical reckoning fixed points via new faster iteration process 数值推算定点采用新的更快的迭代过程
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.11902
K. Ullah, Junaid Ahmad, F. M. Khan
{"title":"Numerical reckoning fixed points via new faster iteration process","authors":"K. Ullah, Junaid Ahmad, F. M. Khan","doi":"10.4995/agt.2022.11902","DOIUrl":"https://doi.org/10.4995/agt.2022.11902","url":null,"abstract":"In this paper, we propose a new iteration process which is faster than the leading S [J. Nonlinear Convex Anal. 8, no. 1 (2007), 61-79], Thakur et al. [App. Math. Comp. 275 (2016), 147-155] and M [Filomat 32, no. 1 (2018), 187-196] iterations for numerical reckoning fixed points. Using new iteration process, some fixed point convergence results for generalized α-nonexpansive mappings in the setting of uniformly convex Banach spaces are proved. At the end of paper, we offer a numerical example to compare the rate of convergence of the proposed iteration process with the leading iteration processes.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82617955","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
Some classes of topological spaces related to zero-sets 与零集相关的几类拓扑空间
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.15668
F. Golrizkhatami, Asghar Taherifar
{"title":"Some classes of topological spaces related to zero-sets","authors":"F. Golrizkhatami, Asghar Taherifar","doi":"10.4995/agt.2022.15668","DOIUrl":"https://doi.org/10.4995/agt.2022.15668","url":null,"abstract":"An almost P-space is a topological space in which every zero-set is regular-closed. We introduce a large class of spaces, C-almost P-space (briefly CAP-space), consisting of those spaces in which the closure of the interior of every zero-set is a zero-set. In this paper we study CAP-spaces. It is proved that if X is a dense and Z#-embedded subspace of a space T, then T is CAP if and only if X is a CAP and CRZ-extended in T (i.e, for each regular-closed zero-set Z in X, clTZ is a zero-set in T). In 6P.5 of [8] it was shown that a closed countable union of zero-sets need not be a zero-set. We call X a CZ-space whenever the closure of any countable union of zero-sets is a zero-set. This class of spaces contains the class of P-spaces, perfectly normal spaces, and is contained in the cozero complemented spaces and CAP-spaces. In this paper we study topological properties of CZ (resp. cozero complemented)-space and other classes of topological spaces near to them. Some algebraic and topological equivalent conditions of CZ (resp. cozero complemented)-space are characterized. Examples are provided to illustrate and delimit our results.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"4 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78282316","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
Topological transitivity of the normalized maps induced by linear operators 由线性算子引起的归一化映射的拓扑传递性
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.15613
P. Mandal
{"title":"Topological transitivity of the normalized maps induced by linear operators","authors":"P. Mandal","doi":"10.4995/agt.2022.15613","DOIUrl":"https://doi.org/10.4995/agt.2022.15613","url":null,"abstract":"In this article, we provide a simple geometric proof of the following fact: The existence of transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either 1 or 2 or infinity. A similar result holds for projective transformation as well.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78838565","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 new fixed point results on b-cone Banach spaces over Banach algebras 巴拿赫代数上b锥巴拿赫空间的新不动点结果
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.15571
H. Afshari, Hadi Shojaat, A. Fulga
{"title":"Common new fixed point results on b-cone Banach spaces over Banach algebras","authors":"H. Afshari, Hadi Shojaat, A. Fulga","doi":"10.4995/agt.2022.15571","DOIUrl":"https://doi.org/10.4995/agt.2022.15571","url":null,"abstract":"Recently Zhu and Zhai studied the concepts of cone b-norm and cone b-Banach space as generalizations of cone b-metric spaces and theygave a definition of ϕ-operator and obtained some new fixed point theorems in cone b-Banach spaces over Banach algebras by usingϕ-operator. In this paper we propose a notion of quasi-cone over Banach algebras, then by utilizing some new conditions andfollowing their work with introducing two mappings $mathcal{T}$ and $mathcal{S}$ we improve the fixed point theorems to the commonfixed point theorems. An example is given to illustrate the usability of the obtained results.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"56 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72672701","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
Alexandroff duplicate and βκ 亚历山德罗夫重复和βκ
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.15586
A. Szymanski
{"title":"Alexandroff duplicate and βκ","authors":"A. Szymanski","doi":"10.4995/agt.2022.15586","DOIUrl":"https://doi.org/10.4995/agt.2022.15586","url":null,"abstract":"We discuss spaces and the Alexandroff duplicates of those spaces that admit a Č-S embedding into the Čech-Stone compactification of a discrete space.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"83 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81710800","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
Topologically mixing extensions of endomorphisms on Polish groups 波兰群上自同态的拓扑混合扩展
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.15187
John Burke, Leonardo Pinheiro
{"title":"Topologically mixing extensions of endomorphisms on Polish groups","authors":"John Burke, Leonardo Pinheiro","doi":"10.4995/agt.2022.15187","DOIUrl":"https://doi.org/10.4995/agt.2022.15187","url":null,"abstract":"In this paper we study the dynamics of continuous endomorphisms on Polish groups. We offer necessary and sufficient conditions for a continuous endomorphism on a Polish group to be weakly mixing. We prove that any continuous endomorphism of an abelian Polish group can be extended in a natural way to a topologically mixing endomorphism on the countable infinite product of said group.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"40 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84113016","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
Representations of bornologies bornology的表示
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.16405
H. Pajoohesh
{"title":"Representations of bornologies","authors":"H. Pajoohesh","doi":"10.4995/agt.2022.16405","DOIUrl":"https://doi.org/10.4995/agt.2022.16405","url":null,"abstract":"Bornologies abstract the properties of bounded sets of a metric space. But there are unbounded bornologies on a metric space like $mathcal{P}(RR)$ with the Euclidean metric. We show that by replacing $[0,infty)$ with a partially ordered monoid every bornology is the set of bounded subsets of a generalized metric mapped into a partially ordered monoid. We also prove that the set of bornologies on a set is the join completion of the equivalence classes of a relation on the power set of the set.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"9 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76339129","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 certain new notion of order Cauchy sequences, continuity in (l)-group 关于序柯西序列的某些新概念，(l)-群中的连续性
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.16126
S. Pal, S. Chakraborty
{"title":"On certain new notion of order Cauchy sequences, continuity in (l)-group","authors":"S. Pal, S. Chakraborty","doi":"10.4995/agt.2022.16126","DOIUrl":"https://doi.org/10.4995/agt.2022.16126","url":null,"abstract":"In this paper, we introduce the notion order quasi-Cauchy se-quences, downward and upward order quasi-cauchy sequences, order half Cauchy sequences. Next we consider associated idea of continuity namely, ward order continuous functions [2] and investigated certain intersting results. The entire investigation is perform in (l)-group setting.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"26 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86955553","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 generalizations for mixed multivalued mappings 混合多值映射的一些推广
IF 0.8
Applied general topology Pub Date : 2022-04-01 DOI: 10.4995/agt.2022.15214
M. Aslantaş, H. Sahin, Uğur Sadullah
{"title":"Some generalizations for mixed multivalued mappings","authors":"M. Aslantaş, H. Sahin, Uğur Sadullah","doi":"10.4995/agt.2022.15214","DOIUrl":"https://doi.org/10.4995/agt.2022.15214","url":null,"abstract":"In this paper, we introduce a new concept of KW-type ω-contraction mixed multivalued mapping. After that, we obtain some fixed point results for both multivalued and single valued mappings Finally, we provide a noteworth example to show the effectiveness of our result.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":"64 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78207897","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: 7
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