New fixed point theorems for θ-φ contraction in complete metric spaces

被引：12

作者：

Zheng, Dingwei ^{[1
]}

Cai, Zhangyong ^{[2
]}

Wang, Pei ^{[3
]}

机构：

[1] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China

[2] Guangxi Teachers Educ Univ, Dept Math, Nanning 530023, Guangxi, Peoples R China

[3] Yulin Normal Univ, Sch Math & Informat Sci, Yulin 537000, Guangxi, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Fixed point; complete metric space; theta-phi contraction;

D O I：

10.22436/jnsa.010.05.32

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the notions of theta-phi contraction and theta-phi Suzuki contraction and establish some new fixed point theorems for these mappings in the setting of complete metric spaces. The results presented in the paper improve and extend the corresponding results due to Banach, Browder [F. E. Browder, Nederl. Akad. Wetensch. Proc. Ser. A Indag. Math., 30 (1968), 27-35], Suzuiki [T. Suzuki, Nonlinear Anal., 71 (2009), 5313-5317], Kannan [R. Kannan, Amer. Math. Monthly, 76 (1969), 405-408], Jleli and Samet [M. Jleli, B. Samet, J. Inequal. Appl., 2014 (2014), 8 pages]. Finally, we give an example to illustrate them. (C) 2017 All rights reserved.

引用

页码：2662 / 2670

页数：9

共 12 条

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