Best proximity point (pair) results via MNC in Busemann convex metric spaces

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-10-03 DOI:10.4995/agt.2022.14000

M. Gabeleh, P. Patle

引用次数: 1

Abstract

In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces. Then an application of the main existence result to study the existence of an optimal solution for a system of differential equations is demonstrated.

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在Busemann凸度量空间中，通过MNC得到最佳接近点(对)

本文给出了一类新的循环(非循环)α-ψ和β-ψ凝聚算子，并研究了自反Busemann凸空间中最佳邻近点(对)和耦合最佳邻近点(对)的存在性。然后用主要存在性结果研究了一类微分方程组最优解的存在性。

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.