Fixed point theorems for mappings with convex diminishing diameters on cone metric spaces

被引：14

作者：

Alnafei, Shahrazad H. ^{[1
]}

Radenovic, Stojan ^{[2
]}

Shahzad, Naseer ^{[1
]}

机构：

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

[2] Univ Belgrade, Fac Mech Engn, Beograd 11120, Serbia

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 12期

关键词：

Cone metric spaces; Strongly minihedral; Locally convex diminishing diameters; Locally power diminishing diameters; Fixed point; QUASI-CONTRACTION;

D O I：

10.1016/j.aml.2011.06.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, Cantor's intersection theorem is extended to cone metric spaces and as an application, a fixed point theorem is derived for mappings with locally power diminishing diameters. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2162 / 2166

页数：5

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