The existence of coincidence points and common fixed points for four mappings satisfying generalized contractive conditions without exploiting the notion of continuity of any map involved therein, in a TVS-valued cone metric space is proved. These results extend, unify and generalize several well known comparable results in the existing literature.

The existence of coincidence points and common fixed points for four mappings satisfying generalized contractive conditions without exploiting the notion of continuity of any map involved therein, in a cone metric space is proved. These results extend, unify and generalize several well known comparable results in the existing literature. 2010 Elsevier Inc. All rights reserved.

In this paper we prove the existence of coincidence points and common fixed points for a large class of almost contractions in cone metric spaces. These results generalize, extend and unify several well-known recent related results in literature. AMS subject classifications: 47H10, 54H25

Let (X, d) be a complete partially ordered cone metric space, g : X → X and F : X × X × X → X be two mappings. In this paper, a new concept of F having the mixed comparable property with respect to g is introduced and some tripled coincidence point results of F and g are obtained if F has the mixed comparable property with respect to g and some other natural conditions are satisfied. Moreover, ...

The aim of the present paper is to obtain some new common fixed point theorems for a pair of Lipschitzian type selfmappings satisfying a minimal commutativity and weaker continuity conditions. In the setting of our results we establish a situation in which a pair of mappings may possess common fixed points as well as coincidence points which may not be common fixed points. Our results generaliz...