Tripled Coincidence Points of Mappings in Partially Ordered 0-Complete Partial Metric Spaces

Abstract

In this paper, we introduce the concept of a tripled coincidence point for a pair of nonlinear contractive mappings F : X3 → X and g : X → X in partially ordered 0-complete partial metric spaces and obtain existence and uniqueness theorems. Our results generalize, extend, unify and complement recent tripled coincidence point theorems established by Marin Borcut, Vasile Berinde [M. Borcut, V. Berinde, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces, Applied Mathematical and Computation 218 (2012) 5929-5935], Marin Borcut [M. Borcut, Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces, Applied Mathematical and Computation 218 (2012) 7339-7346], Hassen Aydi, Erdal Karapinar, Mihail Postolache [H. Aydi, E. Karapinar, M. Postolache, Tripled coincidence point theorems for weak ϕ−contractions in partially ordered metric spaces, Fixed Point Theory and Applications 2012, 2012:44, doi: 10.1186/1687-1812-2012-44] and Binayak S. Choudhury, Erdal Karapinar and Amaresh Kundu [B. Choudhury, E. Karapinar, A. Kundu, Tripled coincidence point theorems for nonlinear contractions in partially ordered metric spaces, International Journal of Mathematics and Mathematical Sciences,2012, in press]. Examples to support our new results are given.