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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

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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.

DOI: 10.30697/rfpta-2018-019

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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

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Copyright © 2020 SUMA Publishing Group., This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.