REICH-TYPE CONTRACTION ON EXTENDED METRIC SPACE OF TYPE (φ, ρ) AND SOME FIXED POINT RESULTS

Abstract

In this article, we present a new notion called “extended metric spaces of type (φ,ρ)” as a generalization of extended b-metric spaces. Also, we establish a fixed point result of a Reich-type contraction on an extended metric space of type (φ, ρ). We also provide several examples to demonstrate the significance of the established results.