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

被引：4
|
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：
新加坡国家研究基金会; 芬兰科学院;
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
收藏
页码：719 / 732
页数：14
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