[PDF] Top 20 Some remarks about the existence of coupled g coincidence points

... After the appearance of the works by Turinici [] and, subsequently, by Ran and Reurings [] and Nieto and Rodríguez-López [] in partially ordered metric spaces, the branch of fixed point theory devoted to the study of ... See full document

... Very recently, Hussain et al. (Fixed Point Theory Appl. 2014:62, 2014) announced the existence and uniqueness of some coupled coincidence point. In this short note we remark that the announced ... See full document

... the existence and uniqueness of fixed points of certain mappings in the framework of metric spaces is one of the centers of interests in nonlinear functional anal- ...a G-metric space was introduced ... See full document

... ordering. Some of these works are noted in [, , , ...a coupled fixed point and the mixed monotone ...proved some coupled fixed point theorems for mappings which satisfy the mixed monotone ... See full document

... presented some new results for contractions in partially ordered metric ...the existence and uniqueness of solution for a periodic boundary value ... See full document

... which g(x) g(u) and g(y) g(v), where φ : [0, ∞) → [0, ∞) is continuous, nondecreasing function such that φ(t) < t for all t > ...set g(X), (X, d ) is a regular and if there exist ... See full document

... the existence of coupled coincidence points and then, prove the existence and uniqueness of coupled common fixed points for our main ... See full document

... the existence of the PPF dependent common fixed point theorems and the PPF dependent coincidence points for a pair of mappings satisfying some contractive conditions in Banach spaces where the ... See full document

... of coupled fixed point and mixed monotone property for contractive operators of the form F : X × X → X, where X is a partially ordered metric space, and then established some interesting coupled fixed ... See full document

... presented some coupled fixed point theorems for a mixed monotone mapping in a partially ordered metric space which are generalizations of the results of Bhaskar and Lakshmikantham ...of coupled ... See full document

... a coupled fixed point (u, v) ∈ g(X)× g(X), ...∈ g(X) × g(X), there exists ( u, ˜ v) ˜ ∈ X × X such that g u ˜ = u and g v ˜ = ...Thus g u ˜ = u = A(u, v) = ... See full document

... Theorem . Let (X, ) be a partially ordered set and suppose there is a partial metric p on X such that (X, d) is a complete partial metric space. Let g : X → X and F : X × X → X be a mapping having the mixed ... See full document

... The existence of a fixed point for contractive mappings in partially ordered metric spaces has attracted the attention of many mathematicians ...proved some coupled fixed point theorems for the mixed ... See full document

... investigate some strong convergence as well as stability results of some iterative procedures for a special class of ...of some known classes of Jungck-type contractive mappings, is ...the ... See full document

... proved some common fixed-point theorems for noncompatible mappings under strict contractive ...proved some common fixed-point theorems for strict contractive noncompatible mappings in metric ...true. ... See full document

... of G-g-contraction mapping and prove some coupled coincidence and coupled common fixed point theorems for nonlinear contraction mappings in the new set up of partially ordered ... See full document

... Along the lane, fixed point theorem for mappings satisfying contractive condition of integral type was brought up by Branciari [9]. Given a metric space (X , d) with x, y ∈ X, and for some λ ∈ (0, 1), Branciari ... See full document

... times, coupled fixed point and coupled coincidence point theory has been developed in partially ordered G-metric ...space. Some authors have studied coupled fixed point ...the ... See full document

... of coupled fixed points in partially ordered metric spaces was first investigated in  by Guo and Lakshmikantham ...established some coupled fixed point theorems for a mixed monotone mapping ... See full document

... sciences. Some generalizations of the usual notion of a metric space have been proposed by several ...a G -metric space initiated by Mustafa and Sims ...facts about G -metric spaces, ... See full document