Weak Contraction for Coupled Fixed Point using Q- Function

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 Q- function q and (α - Ψ)- 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.