KKM mappings in cone b-metric spaces

被引：185

作者：

Hussain, N. ^{[2
]}

Shah, M. H. ^{[1
]}

机构：

[1] LUMS, Dept Math Sci, Dha Lahore, Pakistan

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 04期

关键词：

KKM property; Fixed point; Cone b-metric space; Admissible set; Totally bounded set; Approximate fixed point property; FIXED-POINT THEOREMS;

D O I：

10.1016/j.camwa.2011.06.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish some topological properties of the cone b-metric spaces and then improve some recent results about KKM mappings in the setting of a cone b-metric space. We also prove some fixed point existence results for multivalued mappings defined on such spaces. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1677 / 1684

页数：8

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