Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application-Reference-Cited by-同舟云学术

Fixed Point Results for Hybrid Rational Contractions under a New Compatible Condition with an Application

Published:2023-12-29 Issue:1 Volume:12 Page:121
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Liu Xiaolan¹²³^ORCID,Zhou Mi⁴⁵⁶⁷^ORCID,Hojat Ansari Arslan⁸⁹,Saleem Naeem¹⁰^ORCID,Jain Mukesh Kumar¹¹

Affiliation:

1. College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China

2. Artificial Intelligence Key Laboratory of Sichuan Province, Zigong 643000, China

3. South Sichuan Center for Applied Mathematics, Zigong 643000, China

4. School of Science and Techology, University of Sanya, Sanya 572022, China

5. Center for Mathematical Reaserch, University of Sanya, Sanya 572022, China

6. Academician Guoliang Chen Team Innovation Center, University of Sanya, Sanya 572022, China

7. Academician Chunming Rong Workstation, University of Sanya, Sanya 572022, China

8. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj 6915136111, Iran

9. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria 0204, South Africa

10. Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan

11. Jawahar Navodaya Vidyalaya, Udalguri 784509, India

Abstract

In this scholarly discourse, we present proof of the existence of unique fixed points in b-metric spaces for hybrid rational contractions. Moreover, we establish a common fixed point theorem for four self-mappings, assuming S-compatibility for two pairs of self-mappings within the framework of b-metric spaces. As a practical demonstration of the aforementioned results, we apply them to a type of integral equation and derive a theorem that guarantees the existence of solutions.

Funder

Sichuan University of Science and Engineering

National Natural Science Foundation of China

Natural Science Foundation of Sichuan Province

Fund Project of Sichuan University of Science and Engineering in hit-haunting for talents

2021 Innovation and Entrepreneurship Training Program for College Students of Sichuan University of Science and Engineering

Key R&D Project of Hainan Provincial Natural Science Foundation

High Level Project of Hainan Provincial Natural Science Foundation

Sanya City Science and Technology Innovation Special Project

Key Special Project of University of Sanya

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2227-7390/12/1/121/pdf

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