Abstract
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.
Highlights
In this study, we demonstrate the existence and uniqueness of common xed 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
In 2010, Chistyakov [1, 2] set up a new structure named modular metric, which is an extension of metric and a linear modular
Summary
The letters R, R+, and N will specify the set of all real numbers, the set of all nonnegative real numbers, and the set of all positive integer numbers, respectively. De nition 1.3 [4] Let Mδ be a modular metric space, S be a subset of Mδ and (pn)n∈N be a sequence in Mδ. De nition 1.5 [5] A simulation function is a mapping ζ : [ , ∞) → R admitting the following features:. De nition 1.8 [13] Let G : [ , ∞) → R is called C−class function when it has continuity property and admits the following features: i. De nition 1.9 [14] Let ζ : [ , ∞) → R be a function admitting the following features: a. Throughout this study, δ will be used as a convex and regular function
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