A Fixed Point Theorem on complete Partially Ordered Cone 2-Metric Spaces using Generalized control Function

Abstract

The aim of the Research article is to prove a theorem of unique fixed point using the concept of generalized control function in partial cone 2- metric spaces applying the scheme called c-sequences. We also establish that the fixed point is unique. The presented theorem extends and unifies various fixed point results. To justify the result, few lemmas are used.