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

页码：4127 / 4136

页数：10

共 50 条

[31] Fixed point theorems for contraction mappings in modular metric spaces
Mongkolkeha, Chirasak
Sintunavarat, Wutiphol
Kumam, Poom
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[32] Improvements on Bogin-type fixed point theorems in complete metric spaces
Suzuki, Tomonari
[J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2018, 34 (03) : 425 - 431
[33] SOME FIXED POINT THEOREMS FOR A PAIR TYPE OF BOGIN-POPESCU MAPPINGS IN COMPLETE METRIC SPACES
Ciric, Ljubomir
Petrot, Narin
Promsinchai, Pornthip
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (03) : 551 - 562
[34] Suzuki Type Fixed Point Result for Rational θ-Contraction on Complete Metric Spaces
Durmaz, G.
Minak, G.
Altun, I.
[J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2019, 43 (04) : 475 - 485
[35] Fixed point theorems for metric tower mappings in complete metric spaces
Godwin Amechi Okeke
Daniel Francis
[J]. The Journal of Analysis, 2024, 32 : 949 - 991
[36] Fixed point theorems for metric tower mappings in complete metric spaces
Okeke, Godwin Amechi
Francis, Daniel
[J]. JOURNAL OF ANALYSIS, 2024, 32 (02): : 949 - 991
[37] Common Fixed Point Theorems of Integral Type Contraction on Cone Metric Spaces and Applications
Kumar, Sanjay
Singhal, Akash
Sharma, Manish
[J]. COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2023, 14 (02): : 503 - 510
[38] Fixed Point Theorems for Set-Valued Contraction Type Maps in Metric Spaces
Amini-Harandi, A.
O'Regan, D.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
[39] Fixed Point Theorems for Set-Valued Contraction Type Maps in Metric Spaces
A Amini-Harandi
D O'Regan
[J]. Fixed Point Theory and Applications, 2010
[40] APPROXIMATE FIXED POINT THEOREMS FOR PARTIAL GENERALIZED CONVEX CONTRACTION MAPPINGS IN α-COMPLETE METRIC SPACES
Latif, Abdul
Sintunavarat, Wutiphol
Ninsri, Aphinat
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (01): : 315 - 333

← 1 2 3 4 5 →