Banach's Contraction Principle for Nonlinear Contraction Mappings in Modular Metric Spaces

被引：6

作者：

Martinez-Moreno, Juan ^{[1
]}

Sintunavarat, Wutiphol ^{[2
]}

Kumam, Poom ^{[3
,4
,5
]}

机构：

[1] Univ Jaen, Dept Matemat, Campus Las Lagunillas, Jaen 23071, Spain

[2] Thammasat Univ, Dept Math & Stat, Rangsit Ctr, Pathum Thani 12120, Thailand

[3] King Mongkuts Univ Technol Thonburi, Dept Math, Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[4] King Mongkuts Univ Technol Thonburi, Theoret & Computat Sci TaCS Ctr, Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2017年 / 40卷 / 01期

关键词：

Modular metric space; Fixed point; Banach theorem; Edelstein theorem; FIXED-POINT THEOREMS;

D O I：

10.1007/s40840-016-0387-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced. In this paper we investigate some fixed-point theorems in modular metric spaces.

引用

页码：335 / 344

页数：10

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