(Alpha-Psi)- Construction with Q- Function for Coupled Fixed Point

Abstract

Abstract:- The purpose of this article  is to prove coupled fixed point theorem for non linear contractive mappings in partially ordered complete quasi - metric spaces using the concept of  monotone mapping with a  function q and  contractive condition. The presented theorems are generalization and extension of the recent coupled fixed point theorems due to Bhaskar and Lakshmikantham \cite(BL). We also give an example in support of our theorem.

Keywords:- Coupled fixed point, Coupled Coincidence point, Mixed  monotone mapping.