[PDF] Top 20 Common coupled fixed point theorems for θ-ψ-contraction mappings endowed with a directed graph

... of coupled coincidence point (x, y) ∈ X × X such that gx = F(x, y) and gy = F(y, x) was first introduced by Lakshimikantham and Ćirić ...a coupled coincidence point for such a mapping that ... See full document

... some coupled coinci- dence and coupled common fixed point theorems for nonlinear contractions in partially ordered complete metric spaces endowed with a directed ...of ... See full document

... metric fixed point theory by replacing order structure with a graph structure on a metric ...of mappings on a metric space endowed with a directed ... See full document

... α-admissible mappings in com- plete metric spaces has been studied by several researchers (see [–] and references ...discuss common fixed point results for α-ψ -contractive type ... See full document

... of mappings on a metric space endowed with a directed ...fixed point of a ϕ-contraction in metric spaces endowed with a graph (see also ... See full document

... spaces endowed with a ...Banach Contraction Principle to mappings on a metric space endowed with a graph and also has presented its applications to the Kelisky-Rivlin Theorem on ... See full document

... fuzzy contraction mapping and consequently proved the existence of fuzzy fixed point theorem which is a fuzzy generalization of Banach contraction theorem ([5]) and Nadler’s [14] fixed ... See full document

... to coupled fixed point theory in the setting of multivalued map- pings were extended by Abbas et ...obtained coupled coincidence point and common coupled fixed ... See full document

... They proved that in a complete metric space, every multivalued (θ , L)-weak contraction has a fixed point. In the same paper, they also proved that every generalized multivalued (α, L)-weak ... See full document

... some coupled coincidence and coupled common fixed point theorems for mappings satisfying ( ψ , φ , θ )-contractive conditions in partially ordered complete b-metric ... See full document

... a fixed-point theorem in Menger spaces through weak ...a common fixed-point theorem of six maps under the condition of weak compatibility and compatibility in Menger space and give an ... See full document

... some fixed point results in modular metric ...of fixed point theorems for contraction mappings in modular metric spaces and generalized the result of Mongkolkeha et ... See full document

... which implies that d(F(x, y), gx) = 0 and hence F(x, y) = gx. Similarly, F(y, x) = gy. Hence (x, y) is coupled coincidence point of the mappings F and g. Suppose now that (a) holds. Then for some (x, ... See full document

... some common tripled …xed point theorems for hybrid pair of mappings satisfying, (EA) property and occasionally w compatibility conditions, under weak ' ...coincidence point, we do not ... See full document

... A point ∈ is called point of coincidence of two mappings , : → if there exists a point ∈ such that = = ...coincidence point of and and the set of coincidence points of and is denoted by ... See full document

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

... Remark . Condition (.) in Theorem . is weaker than the conditions of (X, d) is complete and one of the ranges of the four mappings A, B, S, and T is closed in Theo- rem . in []. Hence Theorem . is a ... See full document

... Banach Contraction Principle: An contraction mapping from C into itself has a unique fixed point in ...a contraction (For example, Bryant ...expansive mappings. Many author have ... See full document

... several fixed point and common fixed point theorems in the frame work of modular spaces have been ...of coupled fixed points and later several authors obtained ... See full document

... some coupled fixed points theorems in partially ordered complete metric spaces given by Harjani, Sadarangani [], Nieto, Rodríguez- López [] and [], Nieto, Pouso, Rodríguez-López [], O’Regan, Petruşel ... See full document