Fixed Point Theorems for $\psi$-contractions in S-metric Spaces and KKS-metric Spaces


Keywords:
S-metric space, KKS metric space, $\psi$-contractionAbstract
In this paper we introduce the notion of $\psi$-contractions for self maps on S-metric spaces and establish a fixed point theorem for such maps. We also introduce a new subclass of S-metric spaces called KKS metric spaces and prove a fixed point theorem for a $\psi$-contraction on a KKS metric space. An open problem is also given at the end of the paper.
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Copyright (c) 2023 International Journal of Mathematics And its Applications

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