[PDF] Top 20 Coupled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Quasi-Metric Spaces with a Q-Function

... Definition 2.1 Lakshmikantham and ´ Ciri´c 24. Let X, ≤ be a partially ordered set, and F : X × X → X and g : X → X. We say F has the mixed g-monotone property if F is nondecreasing g-monotone in its first ... See full document

... Theorem . (See []) In addition to the hypothesis of Theorem ., suppose that for every (x, y), (x ∗ , y ∗ ) ∈ X × X, there exists (u, v) ∈ X × X such that (F(u, v), F(v, u)) is comparable to (F(x, y), F(y, x)) and ... See full document

... in partially ordered metric ...several coupled coincidence and coupled common fixed point theorems, which generalize and complement some known ... See full document

... Fixed point problems of contractive mappings in metric spaces endowed with a partial order have been studied in a number of ...lished coupled fixed point results for mixed monotone ... See full document

... some coupled fixed point theorems and applied these to study the existence and uniqueness of solution for periodic boundary value ...proved coupled coincidence and common coupled ... See full document

... of coupled fixed point for single-valued mappings and established some coupled fixed point results and found its application in the existence and uniqueness of solution for periodic boundary ... See full document

... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear Analysis: Theory, Methods & Applications, ...fixed point theorems for ... See full document

... of coupled fixed points in cone metric spaces and established some coupled fixed point theorems in cone metric ...proved coupled coincidence and coupled ... See full document

... Fixed point theory has fascinated hundreds of researchers since 1922 with the cele- brated Banach’s fixed point ...of coupled fixed point and proved some coupled fixed point ... See full document

... a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped ... See full document

... presented coupled fixed point theorems for contractions in partially ordered metric ...to coupled coincidences. For more related work on coupled coincidences ... See full document

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document

... Our purpose here is to establish tripled coincidence point results in metric spaces with partial ordering. For that purpose we define mixed g-monotone property in the following. Mixed ... See full document

... fixed point theorems for g-non-decreasing generalized nonlinear contractions in partially ordered complete metric spaces are ...Presented theorems are ... See full document

... G-metric spaces. A function f : (X, G) → (X , G ) is said to be G-continuous at a point a ∈ X if and only if for every ε > , there exists δ >  such that x, y ∈ X and G(a, x, y) < δ ... See full document

... a partially ordered set and suppose that there is an L-fuzzy metric M on X such that X, M, T is a complete ML-fuzzy metric space in which T is Hadˇzic’ ...and q ∈ 0, 1 such ... See full document

... a metric space and A be a nonempty subset of X ...fixed point of T ...a metric space (X, d), if T : A → X , then a best approximation theorem provides sufficient conditions that ascertain ... See full document

... complete partially ordered metric spaces have been ...of coupled fixed point ...give coupled coincidence point ... See full document

... In this paper, we introduce the notion of generalized G- β - ψ contractive mappings which is inspired by the concept of α - ψ contractive mappings. We showed the existence and uniqueness of a fixed point for such ... See full document

... new coupled fixed point theo- rems for weakly contractive maps that satisfied Mizoguchi-Takahashi’s condition ...quasiordered metric spaces or usual metric ... See full document