Fixed Point Theorems of Set-Valued Mappings in Partially Ordered Hausdorff Topological Spaces

Fixed Point Theorems for Set Valued Mappings in Partially Ordered Metric Spaces

Let (X, ) be a partially ordered set and d be a metric on X such that (X, d) is a complete metric space. Assume that X satisfies; if a non-decreasing sequence xn → x in X , then xn x, for all n. Let F be a set valued mapping from X into X with nonempty closed bounded values satisfying; (i) there exists κ ∈ (0, 1) with D(F (x), F (y)) ≤ κd(x, y), for all x y, (ii) if d(x, y) < ε < 1 for some y ∈...

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.

Fixed Point Theorems for Set-valued Mappings

Coupled Fixed Points of Set Valued Mappings in Partially Ordered Metric Spaces

Let (X,1) be a partially ordered set and d be a metric on X such that (X, d) is a complete metric space. Let F : X ×X Ã X be a mixed monotone set valued mapping. We obtain sufficient conditions for the existence of a coupled fixed point of F.