Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces

被引：2

作者：

Tron, Nguyen Huu ^{[1
]}

机构：

[1] Quy Nhon Univ, Dept Math & Stat, 170 An Duong Vuong, Quy Nhon, Binh Dinh, Vietnam

来源：

SET-VALUED AND VARIATIONAL ANALYSIS | 2023年 / 31卷 / 02期

关键词：

Orbital regularity; Orbital pseudo-Lipschitzness; Approximate coincidence point; Approximate fixed point; Ierative scheme; Milyutin regularity; THEOREM; STABILITY;

D O I：

10.1007/s11228-023-00680-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we construct a common iterative scheme that allows to unify two important results established recently by Ioffe and Ait Mansour, Bahraoui, El Bekkali, respectively. Our results rely on a weaker concept of metric regularity, called orbital regularity. Some applications are given to approximate and/or exact coincidence double fixed point problems as well as to the perturbation stability of approximate and/or exact Milyutin regularity of set-valued mappings in metric spaces.

引用

页数：22

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