Novel results on fixed-point methodologies for hybrid contraction mappings in $ M_{b} $-metric spaces with an application-Reference-Cited by-同舟云学术

Novel results on fixed-point methodologies for hybrid contraction mappings in $ M_{b} $-metric spaces with an application

Published:2023 Issue:1 Volume:8 Page:1530-1549
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mudhesh Mustafa¹,Hammad Hasanen A.²³,Ameer Eskandar⁴,Arshad Muhammad¹,Jarad Fahd⁵⁶⁷

Affiliation:

1. Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan

2. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

4. Department of Mathematics, Taiz University, Taiz, 6803, Yemen

5. Department of Mathematics, Čankaya University, Etimesgut 06790, Ankara, Turkey

6. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

7. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>By combining the results of Wardowski's cyclic contraction operators and admissible multi-valued mappings, the motif of $ \eta $-cyclic $ \left(\alpha _{\ast }, \beta _{\ast }\right) $-admissible type $ \digamma $-contraction multivalued mappings are presented. Moreover, some novel fixed point theorems for such mappings are proved in the context of $ M_{b} $-metric spaces. Also, two examples are given to clarify and strengthen our theoretical study. Finally, the existence of a solution of a pair of ordinary differential equations is discussed as an application.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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