Further generalizations of the Banach contraction principle-Reference-Cited by-同舟云学术

Further generalizations of the Banach contraction principle

Published:2014-11-02 Issue:1 Volume:2014 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Jleli Mohamed,Karapınar Erdal,Samet Bessem

Abstract

Abstract We establish a new fixed point theorem in the setting of Branciari metric spaces. The obtained result is an extension of the recent fixed point theorem established in Jleli and Samet (J. Inequal. Appl. 2014:38, 2014).

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1029-242X-2014-439.pdf

Reference35 articles.

1. Banach S: Sur les opérations dans les ensembles abstraits et leur applications aux équations intégrales. Fundam. Math. 1922, 3: 133–181.

2. Boyd DW, Wong JSW: On nonlinear contractions. Proc. Am. Math. Soc. 1969, 20: 458–464. 10.1090/S0002-9939-1969-0239559-9

3. Ćirić L: A generalization of Banach’s contraction principle. Proc. Am. Math. Soc. 1974,45(2):267–273.

4. Kirk WA: Fixed points of asymptotic contractions. J. Math. Anal. Appl. 2003, 277: 645–650. 10.1016/S0022-247X(02)00612-1

5. Meir A, Keeler E: A theorem on contraction mappings. J. Math. Anal. Appl. 1969, 28: 326–329. 10.1016/0022-247X(69)90031-6

Cited by 75 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Bazı Genelleştirilmiş Sabit Çember Sonuçları Üzerine;Düzce Üniversitesi Bilim ve Teknoloji Dergisi;2024-01-26

2. An Existence Result for Second-Order Boundary-Value Problems via New Fixed-Point Theorems on Quasi-Metric Space;Symmetry;2024-01-13

3. Fixed point results for almost ($ \zeta -\theta _{\rho } $)-contractions on quasi metric spaces and an application;AIMS Mathematics;2024

4. Fixed point theorems for basic θ-contraction and applications;CARPATHIAN J MATH;2024

5. The Solvability of Fourth‐Order Differential Equations under Almost Hardy–Rogers (ψ, ϕ)‐Type Multivalued Contractions in M_℘‐Metric Space;International Journal of Mathematics and Mathematical Sciences;2024-01