A COUPLED FIXED POINT THEOREM IN $b$-METRIC SPACES
Wasfı Shatanawi, Mohammad Bani Hani · International Journal of Pure and Apllied Mathematics · 2016
In this paper, we utilize the notion of coupled fixed point in sense of Bhaker and Lakshmikantham [T.Bhakar, V. Lakshmikantham, Fixed point theorems in partially orderd metric spaces and applications, Nonlinear Anal., 65 (2006), 1379-1393] to introduce and prove a coupled fixed point theorem in a b-metric space.Our contractive condition is the most general contractive form in linear form.Our results modified and generalized many exciting results in the literature.