Quasi S-Menger Spaces and Fixed-Point Theorems via Rational Inequalities with Applications

S-metric space is a comparatively new concept in the novel and presently there is much attention being given to the abstraction of S-metric and fixed-point theory in these spaces. The concept of S-Menger spaces was popularized in the novel as an abstraction of both S-metric space and Menger spaces. In the present paper, we define quasi-S-Menger space and prove fixed-point theorems for rational inequality in S-Menger space. Some applications are also given is support of our results. Our results extend the results of Gupta et al. (2013) in the setting of S-Menger space.