Generalized Fixed Point Result of Banach and Kannan Type in S-Menger Spaces

Abstract

S-metric space is a relatively new concept in the literature and currently there is much attention being given to the generalization of S-metric spaces and fixed point theory in these spaces. Recently, the concept of S-Menger spaces was introduced in the literature as a generalization of both S-metric spaces and Menger spaces. Combinations of Banach and Kannan type contractions are very much important to find fixed point results and there are very few works on S-metric spaces that includes both of these type contractions. In this paper, we present a fixed point result in S-Menger spaces that includes both Banach type contractions and Kannan type contractions. We have also deduced some corollaries from our result and provided examples to validate our work.