A FIXED POINT THEOREM ON ENRICHED $(\psi,\varphi_\lambda)$-WEAKLY CONTRACTIVE MAPS IN CONVEX METRIC SPACES

Abstract

In this paper, we define enriched $(\psi,\varphi_\lambda)$-weakly contractive map in convex metric spaces where $\psi$ is continuous on $[0,+\infty)$ and $\varphi_\lambda$ is not continuous on $[0,+\infty)$ and prove the existence and uniqueness of fixed points of these maps in complete convex metric spaces. We provide an example in support of our result.