[PDF] Top 20 Common fixed point of multivalued graph contraction in metric spaces

... a fixed point of T. Let (X, d) be a metric space and G be a directed graph with set V (G) of its vertices coincides with X, and the set of its edges E(G) is such that (x, x) 6∈ ...weighted ... See full document

... modular metric spaces being a natural generalization of classical modulars over linear spaces Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was ... See full document

... unique fixed point in X ...the fixed point theory, from the last few decades this theory is a central topic of ...the common fixed point theorems. The concept of the ... See full document

... a metric space and ∆ denotes the diagonal of X × X ...directed graph such that the set V (G) of its vertices coincides with X and E(G) be the set of edges of the graph which contains all loops, that ... See full document

... There is vast amount of literature dealing with b-metric spaces with the coefficient s ≥ 1. Some obtained results generalize those from metric space. However, there are some results where the cases s ... See full document

... We get [ ( ] and as �⟶ we get , and P is closed, [ ( ] .Hence [ ( ] By ( ( and so .Now if is another fixed point of T. Then from 3.1 we have [ ( ] =0. Hence [ ( ] and [ ( ] .By ( , ( = 0 and . Hence = = . ... See full document

... of common fixed points of weakly compatible mappings, we often require the assumption of completeness of the space or subspace or continuity of mappings involved besides some contractive ...to common ... See full document

... partial metric p, a directed graph G has no parallel edge and G is a weighted graph in the sense that each vertex x is assigned the weight p(x, x) and each edge (x, y) is assigned the weight p(x, ... See full document

... prove common fixed point results for generalized rational mapping satisfying a general contractive condition in complete b- metric ...of common fixed point had been ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... of metric spaces or ordered metric spaces, coincidence point, and common fixed point results for self-mappings in a general class of contractions defined by an ... See full document

... in fixed point of modular ...modular metric space generated by F-modular and developed the theory of this space [8], on the same idea was defined the notion of a modular on an arbitrary set and ... See full document

... a metric space. If T : X → P(X) is a multivalued operator, then x ∈ X is called a fixed point for T if and only if x ∈ T ...fixed point set of T, while S Fix(T ) = {x ∈ X | {x} = Tx} is called ... See full document

... classical contraction mapping principle of Banach states that if (X, d) is a complete metric space and f : X → X such that d(f (x), f (y)) ≤ αd(x, y) for all x, y ∈ X, where α ∈ [, ), then f has a unique ... See full document

... some common fixed-point theorems for pairs of a single-valued and a multivalued coincidentally commuting mappings in D-metric spaces satisfying a certain generalized contraction ... See full document

... The analysis on existence of linear and nonlinear operators was developed after the Banach contraction theorem [] presented in . Many generalizations are available with appli- cations in the literature ... See full document

... fixed point theo- rems for asymptotic pointwise mappings without the use of ...Banach contraction principle to met- ric spaces endowed with a partial ...monotone multivalued mappings on a ... See full document

... in metric fixed point theory is based on two things: the first is to modify con- traction condition and the second is to modify the structure of a metric ...partial metric space and extended ... See full document

... G-contraction multivalued mappings in a metric space endowed with a directed graph is introduced and ...fixed point and coincidence point theorem for this type of mappings is ... See full document

... Banach contraction principle and its several generalizations in the setting of metric spaces play a central role for solving many problems of nonlinear ...Hausdorff metric, Nadler 6 obtained a ... See full document