Caristi-Type Fixed Point Theorems and Some Generalizations on M-Metric Space

被引：10

作者：

Altun, Ishak ^{[1
]}

Sahin, Hakan ^{[2
]}

Turkoglu, Duran ^{[3
]}

机构：

[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[2] Amasya Univ, Fac Sci & Arts, Dept Math, Amasya, Turkey

[3] Gazi Univ, Fac Sci, Dept Math, TR-06500 Ankara, Turkey

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 03期

关键词：

M-metric space; Fixed point; Single valued mapping; MAPPINGS;

D O I：

10.1007/s40840-019-00823-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, taking into account Caristi's fixed point results on both metric spaces and partial metric spaces, we present their some extensions and generalizations on M-metric spaces. First, by providing a counter example, we noticed that a recent result on Caristi-type fixed point theorem on M-metric space is not suitable. Then we propounded two versions of Caristi's inequality and proved some related fixed point results on M -metric space.

引用

页码：2647 / 2657

页数：11

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