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, ...

in this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. some of these results are improved by using different arguments of control functions. examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.

In this paper, we prove some coupled coincidence point theorems for mappings with the mixed monotone property and obtain the uniqueness of this coincidence point. Then we providing useful examples in Nash equilibrium.

The aim of this paper is to present some coincidence point results for four mappings satisfying generalized ðw;uÞ-weakly contractive condition in the framework of ordered b-metric spaces. An example and an application are also provided to support our results. 2013 Elsevier Inc. All rights reserved.

For a given pair of maps f, g : X → M from an arbitrary topological space to an n-manifold, the Lefschetz homomorphism is a certain graded homomorphism Λfg : H(X) → H(M) of degree (−n). We prove a Lefschetztype coincidence theorem: if the Lefschetz homomorphism is nontrivial then there is an x ∈ X such that f(x) = g(x).