Fixed point results for a pair of fuzzy mappings and related applications in b -metric like spaces

Advances in Difference Equations

article

Rasham, Tahair¹  Marino, Giuseppe²  Shahzad, Aqeel³  Park, Choonkill⁴  Shoaib, Abdullah³ 

[1] Department of Mathematics, Faculty of Science and Technology, Women University of Azad Jammu and Kashmir;Dipartimento di Matematica e Informatica, Universita della Calabria;Department of Mathematics and Statistics, Riphah International University;Research Institute for Natural Sciences, Hanyang University

关键词: Fixed point;    Semi \(\alpha _{\ast }\) -dominated fuzzy mappings;    Graphic contractions;    Integral equations;    Functional equations;   

DOI  :  10.1186/s13662-021-03418-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper is devoted to finding out some realization of the concept of b-metric like space. First, we attain a fixed point for two fuzzy mappings satisfying a suitable requirement of contractiveness. Subsequently, we apply such a result to graphic contractions. Also, we attain a unique solution for a system of integral equations, and lastly we give an application to ensure that there exists a common bounded solution of a suitable functional equation in dynamic programming.

【 授权许可】

CC BY