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

Authors : Ekber GİRGİN, Mahpeyker ÖZTÜRK

Pages : 212-219

Doi:10.33401/fujma.492561

View : 13 | Download : 8

Publication Date : 2018-12-25

Article Type : Research Paper

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