COUPLED FIXED POINT THEOREMS IN PARTIALLY ORDERED CONE METRIC SPACES

被引：27
|
作者：
Ding, Hui-Sheng [1 ]
Li, Lu [1 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
来源：
FILOMAT | 2011年 / 25卷 / 02期
关键词：
Coupled fixed point; Mixed monotone mapping; Partially ordered; Cone metric space; CONTRACTIONS;
D O I：
10.2298/FIL1102137D
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with mixed monotone mappings in partially ordered cone metric spaces. We establish several fixed point theorems, which generalize and complement some known results. Especially, even in a partially ordered metric space, our main results are generalizations of the fixed point theorems due to Bhaskar and Lakshmikantham [T. Grana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379-1393].
引用
收藏
页码：137 / 149
页数：13
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