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.

引用

页码：71 / 88

页数：18

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