Volume 2020

# Fixed point results of generalized $\alpha-\left( {\psi ,\phi } \right)-Z_G-$ contractive mappings on non-Archimedean modular metric spaces-by Ekber Girgin and Mahpeyker Ozturk

Abstract: In this paper, by using the concept of $\alpha$-admissible mapping and generalized class of simulation functions, we establish the existence and uniqueness of fixed point of a generalized $\alpha- \left( {\psi ,\phi } \right) - Z_G-$ contractive mappings on non-Archimedean modular metric spaces. Our results generalize and extend various comparable results in the existing literature.
Keywords: Non-Archimedean modular metric space, Simulation functions, $\alpha-$admissible mapping, Weak contraction.
How to cite this article: Ekber Girgin, Mahpeyker Ozturk, Fixed point results of generalized $\alpha - \left( {\psi ,\phi } \right) - Z_G-$ contractive mappings on non-Archimedean modular metric spaces, Results in Fixed Point Theory and Applications, Vol. 2020, Article ID 2018019, 16 pages, 2020.  DOI: https://doi.org/10.30697/rfpta-2018-019