从插值压缩映射到广义环-拟压缩映射

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2021-04-01 DOI:10.4995/AGT.2021.14045

K. Roy, Sayantan Panja

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引用次数: 3

摘要

在本文中，我们考虑Ćirić-quasi收缩映射的一个限制版本，以证明该映射推广了几个已知的插值类型收缩映射。本文还引入了插值严格压缩型映射T的概念，并证明了这种映射在T轨道紧化度量空间上的不动点定理。给出了一些例子来支持我们的既定结果。最后，我们给出了关于Gaba等人引入的(λ， α， β)-插值Kannan收缩的观察。2010 MSC: 47H10;54 h25。

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From interpolative contractive mappings to generalized Ciric-quasi contraction mappings

In this article we consider a restricted version of Ćirić-quasi contraction mapping for showing that this mapping generalizes several known interpolative type contractive mappings. Also here we introduce the concept of interpolative strictly contractive type mapping T and prove a fixed point theorem for such mapping over a T -orbitally compact metric space. Some examples are given in support of our established results. Finally we give an observation regarding (λ, α, β)-interpolative Kannan contractions introduced by Gaba et al. 2010 MSC: 47H10; 54H25.

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.