A new generalization of Rhoades’ condition

Abstract

In this paper, our aim is to obtain a new generalization of the well-known Rhoades’ contractive condition. To do this, we introduce the notion of an S-normed space. We extend the Rhoades’ contractive condition to S-normed spaces and define a new type of contractive conditions. We support our theo- retical results with necessary illustrative examples.Keywords: S-metric space