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

Abstract

Abstract 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.

Keywords

• Fixed point
• Semi α ∗ $\alpha _{\ast }$ -dominated fuzzy mappings
• Graphic contractions
• Integral equations
• Functional equations