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Fixed point approximations via generalized MR-Kannan mappings in Banach spaces 通过巴拿赫空间中的广义 MR-Kannan 映射进行定点逼近
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.20224
Ravindra Bisht, Jay Singh
{"title":"Fixed point approximations via generalized MR-Kannan mappings in Banach spaces","authors":"Ravindra Bisht, Jay Singh","doi":"10.4995/agt.2024.20224","DOIUrl":"https://doi.org/10.4995/agt.2024.20224","url":null,"abstract":"In this paper, we introduce a generalization of the concept of MR-Kannan type contractions and utilize this condition to derive new fixed point theorems under both contractive and non-contractive conditions. Our approach enhances various existing results related to enriched mappings.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140752205","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
Iterated function system of generalized cyclic F-contractive mappings 广义循环 F-收缩映射的迭代函数系统
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.20211
T. Nazir, Mujahid Abbas, Hira Haleem Lodhi
{"title":"Iterated function system of generalized cyclic F-contractive mappings","authors":"T. Nazir, Mujahid Abbas, Hira Haleem Lodhi","doi":"10.4995/agt.2024.20211","DOIUrl":"https://doi.org/10.4995/agt.2024.20211","url":null,"abstract":"The aim of this paper is to study the sufficient conditions for the existence of attractor of a generalized cyclic iterated function system composed of a complete metric space and a finite collection of generalized cyclic F-contraction mappings. Some examples are presented to support our main results and concepts defined herein. The results proved in the paper extend and generalize various well known results in the existing literature.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140752641","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
The degree of nondensifiability of linear bounded operators and its applications 线性有界算子的不可感度及其应用
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.19371
Gonzalo García, Gaspar Mora
{"title":"The degree of nondensifiability of linear bounded operators and its applications","authors":"Gonzalo García, Gaspar Mora","doi":"10.4995/agt.2024.19371","DOIUrl":"https://doi.org/10.4995/agt.2024.19371","url":null,"abstract":"In the present paper we define the degree of nondensifiability (DND for short) of a bounded linear operator T on a Banach space and analyze its properties and relations with the Hausdorff measure of non-compactness (MNC for short) of T. As an application of our results, we have obtained a formula to find the essential spectral radius of a bounded operator T on a Banach space as well as we have provided the best possible lower bound for the Hyers-Ulam stability constant of T in terms of the aforementioned DND.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140751754","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 study of new dimensions for ideal topological spaces 理想拓扑空间的新维度研究
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.19760
Fotini Sereti
{"title":"A study of new dimensions for ideal topological spaces","authors":"Fotini Sereti","doi":"10.4995/agt.2024.19760","DOIUrl":"https://doi.org/10.4995/agt.2024.19760","url":null,"abstract":"In this paper new notions of dimensions for ideal topological spaces are inserted, called *-quasi covering dimension and ideal quasicovering dimension. We study several of their properties and investigate their relations with types of covering dimensions like the *-covering dimension and the ideal covering dimension.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140753949","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
The extension of two-Lipschitz operators 双李普西茨算子的扩展
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.20296
E. Dahia
{"title":"The extension of two-Lipschitz operators","authors":"E. Dahia","doi":"10.4995/agt.2024.20296","DOIUrl":"https://doi.org/10.4995/agt.2024.20296","url":null,"abstract":"The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphism identification of two-Lipschitz operators and Lipschitz operators. After defining and characterize the adjoint of two-Lipschitz operator, we prove a Schauder type theorem on the compactness of the adjoint. We study the extension of two-Lipschitz operators from cartesian product of two complemented subspaces of a Banach space to the cartesian product of whole spaces. Also, we show that every two-Lipschitz functional defined on cartesian product of two pointed metric spaces admits an extension with the same two-Lipschitz norm, under some requirements on domaine spaces.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140751199","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
Expansive homeomorphisms on quasi-metric spaces 准计量空间上的膨胀同构
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.19855
O. Olela Otafudu, Dibona Peggy Matladi, M. Zweni
{"title":"Expansive homeomorphisms on quasi-metric spaces","authors":"O. Olela Otafudu, Dibona Peggy Matladi, M. Zweni","doi":"10.4995/agt.2024.19855","DOIUrl":"https://doi.org/10.4995/agt.2024.19855","url":null,"abstract":"The investigation of expansive homeomorphisms in metric spaces began with Utz in 1950. Thereafter, several authors have extensively studied this concept for different motivations. In this current article, we study expansive homeomorphism in the context of quasi-pseudometric spaces. This is motivated by the fact that any expansive homeomorphism on quasi-pseudometric space is again expansive homeomorphism on its induced pseudometric space but the converse is not true in general. Moreover, the study of orbit structures has been taken to consideration in this article. For instance, we investigate the denseness of orbits in the context of quasi-metric spaces.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140753591","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 existence and uniqueness results for a solution of a system of equations 方程组解的一些存在性和唯一性结果
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.19798
Deepak Khantwal, Rajendra Pant
{"title":"Some existence and uniqueness results for a solution of a system of equations","authors":"Deepak Khantwal, Rajendra Pant","doi":"10.4995/agt.2024.19798","DOIUrl":"https://doi.org/10.4995/agt.2024.19798","url":null,"abstract":"This paper presents some existence and uniqueness results for a system of mappings on the finite product of metric spaces. Our results extend and generalize the well-known and celebrated results of Boyd and Wong [Proc. Amer. Math. Soc. 20 (1969)], Matkowski [Dissertations Math. (Rozprawy Mat.) 127 (1975)], Proinov [Nonlinear Anal. 64 (2006)], Song-il Ri [Indag. Math. (N. S.) 27 (2016)] and many others. We also present some illustrative examples to validate our results.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140755084","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
Hemi metric spaces and fixed point theorems 半米度量空间和定点定理
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.19780
Vildan Ozturk, S. Radenović
{"title":"Hemi metric spaces and fixed point theorems","authors":"Vildan Ozturk, S. Radenović","doi":"10.4995/agt.2024.19780","DOIUrl":"https://doi.org/10.4995/agt.2024.19780","url":null,"abstract":"In this work, we will define a new type metric with degree m and m+1 points which is called m-hemi metric as a generalization of two metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle were proved and a application to Fredholm integral equation were gived in hemi metric spaces.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140753310","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
Strongly Lipschitz (ℓp ,ℓq)-factorable mappings 强 Lipschitz (ℓp ,ℓq) 因子映射
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.18928
Dahmane Achour, T. Tiaiba
{"title":"Strongly Lipschitz (ℓp ,ℓq)-factorable mappings","authors":"Dahmane Achour, T. Tiaiba","doi":"10.4995/agt.2024.18928","DOIUrl":"https://doi.org/10.4995/agt.2024.18928","url":null,"abstract":"In this paper we study the space of strongly Lipschitz (ℓp ,ℓq) -factorable operators between metric spaces and a Banach spaces.In particular, a factorization of this class through ℓp and ℓq spaces is given.We show that this type of operators fits in the theory of composition α-Banach Lipschitz operator ideal.As a special case, we get a Lipschitz version of weakly p-nuclear operators.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140754272","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 interpolative Hardy-Rogers type cyclic contractions 论插值哈代-罗杰斯型循环收缩
IF 0.8
Applied general topology Pub Date : 2024-04-02 DOI: 10.4995/agt.2024.19885
Mohamed Edraoui, A. El koufi, M. Aamri
{"title":"On interpolative Hardy-Rogers type cyclic contractions","authors":"Mohamed Edraoui, A. El koufi, M. Aamri","doi":"10.4995/agt.2024.19885","DOIUrl":"https://doi.org/10.4995/agt.2024.19885","url":null,"abstract":"Recently, Karapınar introduced a new Hardy-Rogers type contractive mapping using the concept of interpolation and proved a fixed point theorem in complete metric space. This new type of mapping, called \"interpolative Hardy-Rogers type contractive mapping\" is a generalization of Hardy-Rogers's fixed point theorem. Following this direction of research, in this paper, we will present some fixed point results of Hardy-Rogers-type for cyclic mappings on complete metric spaces. Moreover, an example is given to illustrate the usability of the obtained results.","PeriodicalId":8046,"journal":{"name":"Applied general topology","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140752071","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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