GENERALIZED FORM OF TRIPLED FIXED POINT THEOREMS IN PARTIALLY ORDERED METRIC SPACES

Abstract

In this paper, we introduce a new concept known as FGH-tripled fixed point and prove existence and uniqueness of fixed points in partially ordered complete metric spaces. This concept is a generalization of tripled fixed point and an extension of FG-coupled fixed point. Our results extends and generalizes several results in literature particularly the results of Berinde and Borcut[Vasile Berinde, Marine Borcut, Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Analysis, 74 (2011), 4889-4897].