A new approach to fixed point theorems in compact 2-generalized metric spaces

被引：1

作者：

Dung, Nguyen Van ^{[1
]}

机构：

[1] Dong Thap Univ, Dept Math Teacher Educ, Cao Lanh City, Dong Thap Provi, Vietnam

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2021年 / 115卷 / 01期

关键词：

Compact 2-generalized metric space; Fixed point; Continuity; BANACH-CACCIOPPOLI TYPE;

D O I：

10.1007/s13398-020-00972-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present a new approach to solve fixed point theorems in compact 2-generalized metric spaces. The approach is to show that the restriction of a given 2-generalized metric to the closure of a certain orbit is a metric. By using the new approach and constructing a counterexample, we completely answer the open question about the role of the continuity of the 2-generalized metric posed in Kadelburg and Radenovic (TWMS J Pure Appl Math 5:3-13, 2014).

引用

页数：8

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