Integral representation theorems in partially ordered vector spaces

Some Representation Theorems for Partially Ordered Sets

Common fixed point theorems of contractive mappings sequence in partially ordered G-metric spaces

We consider the concept of Ω-distance on a complete partially ordered G-metric space and prove some common fixed point theorems.

Extensions of Some Fixed Point Theorems for Weak-Contraction Mappings in Partially Ordered Modular Metric Spaces

The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.

Some Best Proximity Point Theorems in Partially Ordered Metric Spaces

Existence and approximation of best proximity points is an interesting topic for which one can see [2, 3, 4, 6, 5] for more information. Another extension of Banach contraction principle was given by Nieto and Rodriguez-Lopez in partially ordered metric spaces [9]. They proved some fixed point theorems in partially ordered sets in order to show the existence and uniqueness for a first-order ord...

Coupled Fixed Point Theorems in Partially Ordered Menger Spaces

In this paper, we prove several coupled common fixed point theorems for nonlinear mappings in a partially ordered probabilistic metric space. An example is presented to illustrate the main result of this paper.