抽象凸空间上multimaps的最佳逼近

Q3 Mathematics

Nonlinear Functional Analysis and Applications Pub Date : 2021-02-24 DOI:10.22771/NFAA.2021.26.01.12

Sehie Park

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引用次数: 0

摘要

本文给出了抽象凸度量空间中多映射的一些最佳逼近定理。我们基于Kassay-Kolumban, Chang-Zhang的广义KKM地图，并由Park, Kim-Park, Park-Lee和Lee研究。我们的主要成果是将Mitrovic-Hussain-Sen-Radenovic关于g -凸度量空间的最新工作推广到偏KKM度量空间。我们还回顾了与单值映射相关的已知工作，并引入了可以应用我们的新结果的新的偏KKM度量空间。

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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BEST APPROXIMATIONS FOR MULTIMAPS ON ABSTRACT CONVEX SPACES

In this article we derive some best approximation theorems for multimaps in abstract convex metric spaces. We are based on generalized KKM maps due to Kassay-Kolumban, Chang-Zhang, and studied by Park, Kim-Park, Park-Lee, and Lee. Our main results are extensions of a recent work of Mitrovic-Hussain-Sen-Radenovic on G-convex metric spaces to partial KKM metric spaces. We also recall known works related to single-valued maps, and introduce new partial KKM metric spaces which can be applied our new results.

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来源期刊

Nonlinear Functional Analysis and Applications Mathematics-Analysis

CiteScore

1.90

自引率

0.00%

发文量

期刊介绍： The international mathematical journal NFAA will publish carefully selected original research papers on nonlinear functional analysis and applications, that is, ordinary differential equations, all kinds of partial differential equations, functional differential equations, integrodifferential equations, control theory, approximation theory, optimal control, optimization theory, numerical analysis, variational inequality, asymptotic behavior, fixed point theory, dynamic systems and complementarity problems. Papers for publication will be communicated and recommended by the members of the Editorial Board.