On a New Generalization of Banach Contraction Principle with Application-Reference-Cited by-同舟云学术

On a New Generalization of Banach Contraction Principle with Application

Published:2019-09-18 Issue:9 Volume:7 Page:862
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Işık Hüseyin^ORCID,Mohammadi Babak,Haddadi Mohammad Reza,Parvaneh Vahid^ORCID

Abstract

The main purpose of the current work is to present firstly a new generalization of Caristi’s fixed point result and secondly the Banach contraction principle. An example and an application is given to show the usability of our results.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/7/9/862/pdf

Reference19 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

2. An iterative method for approximating fixed points of Prešić nonexpansive mappings;Berinde;Rev. Anal. Numer. Theor. Approx.,2009

3. On fixed points of α-ψ-contractive multifunctions

4. SOLVABILITY TO COUPLED SYSTEMS OF FUNCTIONAL EQUATIONS VIA FIXED POINT THEORY

5. Iterative approximation of fixed points of generalized weak Presic type k-step iterative method for a class of operators

Cited by 9 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. A mathematical model with fractional-order dynamics for the combined treatment of metastatic colorectal cancer;Communications in Nonlinear Science and Numerical Simulation;2024-03

2. Fixed Point Theorems for Set-Valued Contractions in Metric Spaces;Axioms;2024-01-27

3. On Generalized Caristi Type Satisfying Admissibility Mappings;Journal of Mathematics;2023-01-23

4. Periodic point results for p-contraction mappings on metric spaces;PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science;2022

5. A new result on Branciari metric space using (α, γ)-contractive mappings;Topological Algebra and its Applications;2022-01-01