Affiliation:
1. Department of Mathematics , Sakarya University , Sakarya , Turkey
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.
Subject
Applied Mathematics,Geometry and Topology,Algebra and Number Theory
Reference16 articles.
1. [1] V. V. Chistyakov, Modular metric spaces, I: Basic concepts, Nonlinear Anal., 72 (2010), 1-14.
2. [2] V. V. Chistyakov, Modular metric spaces, II: Application to superposition operators, Nonlinear Anal., 72 (2010), 15-30.
3. [3] M. Paknazar, M.A. Kutbi, M. Demma, P. Salimi, On non-Archimedean modular metric space and some nonlinear contraction mappings, Available online: https://pdfs.semanticscholar.org/ (accessed on 30 October 2019).
4. [4] C. Mongkolkeha, W. Sintunavarat, P. Kumam, Fixed point theorems for contraction mappings in modular metric spaces, Fixed Point Theory Appl., 2011: 93 (2011), https://doi.org/10.1186/1687-1812-2011-93.
5. [5] F. Khojasteh, S. Shukla, S. Radenovic, A new approach to the study of fixed point theorems via simulation functions, Filomat, 29 (2015), no. 6, 1189-1194.