SOME FIXED POINT THEOREMS FOR MULTI-VALUED MAPPINGS IN GRAPHICAL METRIC SPACES

被引：5

作者：

Shukla, Satish ^{[1
]}

Kunzi, Hans-Peter A. ^{[2
]}

机构：

[1] Shri Vaishnav Inst Technol & Sci, Dept Appl Math, Sanwer Rd, Indore 453331, MP, India

[2] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Rondebosch, South Africa

来源：

MATHEMATICA SLOVACA | 2020年 / 70卷 / 03期

基金：

芬兰科学院; 新加坡国家研究基金会;

关键词：

graphical metric space; G-set metric; set-valued mappings; contraction; fixed point; PARTIALLY ORDERED SETS;

D O I：

10.1515/ms-2017-0385

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss some topological properties of graphical metric spaces and introduce the G-set metric with respect to a graphical metric. Some fixed point results are introduced which generalize the famous Nadler's fixed point theorem. (C) 2020 Mathematical Institute Slovak Academy of Sciences

引用

页码：719 / 732

页数：14

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