Common fixed point under contractive condition of Ćirić's type on cone metric type spaces

Abstract

The purpose of this article is to generalize common fixed point theorems under contractive condition of Cirić's type on a cone metric type space. We give basic facts about cone metric type spaces, and we prove common fixed point theorems under contractive condition of Cirić's type on a cone metric type space without assumption of normality for cone. As special cases we get the corresponding fixed point theorems on a cone metric space with respect to a solid cone. Obtained results in this article extend, generalize, and improve, well-known comparable results in the iterature. © 2012 Stanic et al; licensee Springer.