FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIONS WITH APPLICATIONS TO COUPLED FIXED POINT THEORY

被引：0
|
作者：
Petrusel, Adrian [1 ]
Petrusel, Gabriela [2 ]
Xiao, Yi-Bin [3 ]
Yao, Jen-Chih [4 ]
机构：
[1] Babes Bolyai Univ Cluj Napoca, Dept Math, Kogalniceanu St 1, Cluj Napoca, Romania
[2] Babes Bolyai Univ Cluj Napoca, Dept Business, Horea St 7, Cluj Napoca, Romania
[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
[4] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2018年 / 19卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Generalized contraction; fixed point; coupled fixed point; partially ordered set; metric space; f-closed set; F-closed set; ORDERED METRIC-SPACES; ORDINARY DIFFERENTIAL-EQUATIONS; F-INVARIANT SET; MAPPINGS; OPERATORS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present some fixed point theorems for generalized contractions of Hardy-Rogers and of Ciric type in complete metric spaces endowed with a partial order relation. Some applications to coupled fixed point theory involving generalized contraction conditions are obtained. Moreover, using the concept of f-closed set, we will prove a general fixed point theorem of Ran-Reurins type. As a consequence, several general coupled fixed point theorems in the recent literature are given. Some open questions are pointed out.
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页码：71 / 88
页数：18
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