COMMON COUPLED FIXED POINT RESULTS FOR HYBRID NONLINEAR CONTRACTIONS IN METRIC SPACES

被引：0
|
作者：
Xiao, Jian-Zhong [1 ]
Zhu, Xing-Hua [1 ]
Shen, Zhi-Mo [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
来源：
FIXED POINT THEORY | 2013年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Metric space; hybrid nonlinear contraction; gauge function; coupled fixed point; error estimate; GENERALIZED CONTRACTIONS; THEOREMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The concept of triangular function is introduced and two kind of hybrid nonlinear contractions involving a gauge function and a triangular function are considered. Several new common coupled fixed point theorems are established in complete metric spaces, and error estimates for iterations to approximate a fixed point are given. The presented results are general because the triangular function is abstract. As applications the existence and uniqueness of the common coupled solutions fox a differential system and a integral system arc proved respectively.
引用
收藏
页码：235 / 249
页数：15
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