Fixed points of set-valued mappings in Menger probabilistic metric spaces endowed with an amorphous binary relation

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2023-10-02 DOI:10.4995/agt.2023.18993

Gopi Prasad, Sheetal Deshwal, Rupesh K. Srivastav

引用次数: 0

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.

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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

本文证明了具有无定形二元关系和Hadžić型t-范数的Menger概率度量空间中集值映射不动点结果的存在性。为了这些发现的可用性，我们提出了一类由Deo等人引入的Bernstein型特殊算子的Kelisky-Rivlin型结果。数学。计算，2011，(2008)，604-612在空间C([0, n/n+1])上。通过这种方式，这些研究扩展、修正和概括了现有文献中最近一些突出的不动点结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.