Common fixed point results via simulation type functions in non-Archimedean modular metric spaces and applications

Abstract

In this study, we demonstrate the existence and uniqueness of common fixed points of a generalized (α,β)− simulation contraction on a non-Archimedean modular metric space. We achieve some consequences in non-Archimedean modular metric spaces as an application, using the structure of a directed graph. Eventually, we contemplate the existence of solutions to a class of functional equations standing up dynamic programming with the help of our outcomes.

Keywords

• non-archimedean modular metric space
• simulation function
• cyclic (α, β)-admissible pair
• 47h10
• 54h25
• 37c25