[PDF] Top 20 A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings

... for infinite family of nonexpansive ...our iterative sequence ...the infinite family of nonexpansive mappings and we have no any restriction with the ... See full document

... an iterative algorithm for finding a common element of the set of solutions of an infinite family of equilibrium problems and the set of fixed points of a finite family of ... See full document

... a new method for a system of generalized equilibrium problems, system of variational inequality problems, and fixed point problems by using S-mapping generated by a ... See full document

... by fixed point techniques of Takahashi and Takahashi in [19] and an improvement set of extragradient-type iteration methods in [20], we introduce a new iteration algorithm for finding a common of the ... See full document

... for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 21–24 and the references ...minimization problems have a great impact and ... See full document

... In this paper, motivated by the above works and related literature, we introduce an it- erative algorithm for hierarchical fixed point problems of a finite family of nonexpansive mappings ... See full document

... In the case of A 0, EP EPφ. In the case of φ ≡ 0, EP is denoted by V IC, A. The problem 1.2 is very general in the sense that it includes, as special cases, some optimization problems, variational inequalities, ... See full document

... implicit iterative scheme to fined a common element of the set of solutions of a system of equilibrium problems and the set of fixed points of an amenable semigroup of non-expansive ... See full document

... of equilibrium problems, systems of variational inequalities and fixed point problems of amenable semigroup of nonexpansive ... See full document

... Lemma 1.9 see 16. Let C be a closed convex subset of a strictly convex Banach space E. Let S and T be two nonexpansive mappings on C. Suppose that FS ∩ FT is nonempty. Then a mapping R on C defined by Rx ... See full document

... quasi-nonexpansive mappings and asymptot- ically quasi-φ -nonexpansive mappings contains the class of relatively nonexpansive map- ...-nonexpansive mappings is more ... See full document

... a new iterative scheme for finding a common element of the set of fixed points of strongly relatively nonexpansive mapping, the set of solutions for equilibrium problems and the ... See full document

... implicit method for finding common solutions of variational inequalities and systems of equilibrium problems and fixed points of infinite family of nonexpansive ... See full document

... a new extragradient method 4.2 which is mixed the iterative schemes considered in 10–12 for finding a common element of the set of common fixed points of nonexpansive mappings, ... See full document

... contains fixed point problems, optimization problems, variational inequality problems, and Nash equilibrium problems as special cases, see ... See full document

... inclusion problems, saddle point problems, variational inequality problems, minimization problems, the Nash equilibria in noncooperative games, vector equilibrium ... See full document

... called nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ C. A point x ∈ C is called a fixed point of T provided that Tx ...of fixed points of T ... See full document

... The set of solutions of (.) is denoted by EP(F). Given a mapping A : C → H, let F(y, u) = Ay, u – y for all y, u ∈ C. Then z ∈ EP(F) if and only if Az, u – z ≥  for all u ∈ C. Nu- merous problems in physics, ... See full document

... a new mapping generated by infinite family of nonexpansive mapping and infinite real ...the new mapping, we prove a strong convergence theorem for finding a common element of the ... See full document

... Lemma . [] Let E a real reflexive Banach space with the uniformly Gâteaux differ- entiable norm and the normal structure, and C be a nonempty closed convex subset of E. Let S : C → C be a nonexpansive mapping ... See full document