Coupled fixed point theorems for mappings satisfying a contractive condition of rational type on a partially ordered metric space

Abstract

Recently, in the paper [J. Harjani, B. Lopez and K. Sadarangani; A fixed point theorem for mappings satisfying a contractive condition of rational type on a partially ordered metric space, Abstract and Applied Analysis, Volume (2010), Article ID 190701, 8pages], some fixed point theorems were established for mappings satisfying a rational type contractive condition in partially ordered metric space. In this paper, we obtain some corresponding coupled fixed point theorems in partially ordered metric spaces by employing a rational type contractive condition. Our results generalize and extend some recently announced results in the literature.