Coupled fixed point results for mappings without mixed monotone property

被引：29
|
作者：
Doric, Dragan [1 ]
Kadelburg, Zoran [2 ]
Radenovic, Stojan [3 ]
机构：
[1] Univ Belgrade, Fac Org Sci, Belgrade 11000, Serbia
[2] Univ Belgrade, Fac Math, Belgrade 11000, Serbia
[3] Univ Belgrade, Fac Mech Engn, Belgrade 11120, Serbia
来源：
APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 11期
关键词：
Partially ordered metric space; Coupled fixed point; Mixed monotone property; ORDERED METRIC-SPACES; NONLINEAR CONTRACTIONS; COMPATIBLE MAPPINGS; THEOREMS;
D O I：
10.1016/j.aml.2012.02.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that a mixed monotone property in coupled fixed point results can be replaced by another property which is automatically satisfied in the case of a totally ordered space, the case which is the most important in applications. Hence, these results can be applied in a much wider class of problems. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1803 / 1808
页数：6
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