We introduce a new type of Caristi's mapping on partial metric spaces and show that a partial metric space is complete if and only if every Caristi mapping has a fixed point. From this result we deduce a characterization ...

Fixed point and common fixed point results for generlized contractive mappings are obtianed in ordered cone metric spaces.

In this paper, we introduce generalized Wardowski type quasi-contractions called alpha-(phi,Omega)-contractions for a pair of multi-valued mappings and prove the existence of the common fixed point for such mappings. An ...

The main goal of this paper is to introduce a new type contraction, that is, multivalued F-G-contraction, on a metric space with a graph. In terms of this new contraction, we establish some fixed point results. At the end, ...

In this paper, we prove a common fixed point theorem for multivalued mappings under the condition of weak compatibility. Also, we define compatible maps of type (I) for multivalued mappings and prove a common fixed point ...

We provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S : X > X where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in ...

In the present work, some fixed point and common fixed point theorems for self-maps on ordered cone metric spaces, where the cone is not necessarily normal, are proved. (C) 2009 Elsevier Ltd. All rights reserved.

In this paper, we apply the concept of cyclic phi-contraction for presenting a fixed point theorem on a Hausdorff uniform space.

We present some fixed point results for nondecreasing and weakly increasing operators in a partially ordered metric space using implicit relations. Also we give an existence theorem for common solution of two integral equations.

In this paper, we introduce some kinds of interpolative proximal contractions named as Reich-Rus-Ciric and Kannan types. Then taking into account the aforementioned mappings, we give a few best proximity point results. As ...