Some fixed point theorems concerning (ψ, φ)-type contraction in complete metric spaces

被引：27
|
作者：
Liu, Xin-Dong [1 ]
Chang, Shih-Sen [2 ]
Xiao, Yun [1 ]
Zhao, Liang-Cai [1 ]
机构：
[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
[2] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期
关键词：
Contraction principle; fixed point; (psi/phi)-type contraction; (psi/phi)-type Suzuki contraction;
D O I：
10.22436/jnsa.009.06.56
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to introduce the notions of (psi, phi)-type contractions and (psi, phi)-type Suzuki contractions and to establish some new fixed point theorems for such kind of mappings in the setting of complete metric spaces. The results presented in the paper are an extension of the Banach contraction principle, Suzuki contraction theorem, Jleli and Samet fixed point theorem, Piri and Kumam fixed point theorem. (C) 2016 All rights reserved.
引用
收藏
页码：4127 / 4136
页数：10
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