$\alpha_\kappa-$Implicit Contraction in non-AMMS with Some Applications

Abstract

In this article, we establish $\alpha_\kappa-$implicit contraction and provide some fixed point results in non-AMMS. Our results progress and generalize some famous consequences in a suitable resource. As an implementation, we study stability in the sense of Ulam-Hyers and a fixed point problem's well-posedness. In addition, some examples are given for new concepts. Also, an application to integral equations is discussed.

Keywords

• non-Archimedean modular metric space,Implicit contraction,Ulam-Hyers stability,Well-posedness

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