[PDF] Top 20 A General Iterative Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces

... Recently iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, [4–7] and the references ...the fixed points of a nonexpansive ... See full document

... a general iterative method for finding a common element of the set of solutions of the mixed equilibrium problems, the set of fixed point of a k-strict pseudocontraction ... See full document

... of fixed points of S by ...of fixed points of a nonexpansive ...approximation method for nonexpansive mappings see 5 for further developments in both Hilbert and Banach ...the ... See full document

... study iterative schemes for solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces and prove that the modified ... See full document

... where dist(x, B) = inf { d(x, y) : y ∈ B } is the distance from a point x to a subset B. Let S : C → CB(C) be a multivalued mapping. An element x ∈ C is called a fixed point of S if x ∈ Sx. The set of all ... See full document

... an iterative method for finding a common element of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of a variational inclusion with set-valued ... 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

... algorithm, prove some strong convergence theorems for finding a common element of the set of solutions of a finite family of split equilibrium problems and the set of common fixed points of a countable family ... See full document

... minimization problems; see, for example, 21–24 and the references ...minimization problems have a great impact and influence in the development of almost all branches of pure and applied ...the fixed ... See full document

... the iterative schemes considered by Zhang et ...new general iterative scheme for finding a common element of the set of solutions for mixed equilibrium problems, the set of solutions of ... See full document

... for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...mappings. Fixed Point Theory ... See full document

... introduce iterative schemes based on the extragradient method for finding a common element of the set of solutions of a generalized mixed equilibrium problem and the set of fixed points of a ... See full document

... the general iterative method to approximate a common element of the set of solutions of generalized equilibrium problems and the set of common fixed points of a finite family of ... See full document

... two iterative schemes for finding a fixed point of a nonspreading ...proposed iterative schemes in Hilbert spaces are proved under some control ... See full document

... The equilibrium problems have been considered by many authors; see, for example, 6, 8–19 and the reference ...of equilibrium problems and few of authors investigate the infinite family of ... See full document

... of Hilbert spaces and Banach spaces has been intensively studied by many authors; see, for instance, 2–4 and the references cited ...The equilibrium problem for f is to find x ∈ C such ... See full document

... common fixed point x ∗ ∈ F(T ) , where F(T ) denotes the set of common fixed point of the nonexpansive ...The point x * solves the variational in-equality 〈(g f −A ) x* , x−x*〉 ≤ 0 for ... See full document

... approximation method for finding a common element of the set of an equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert ...type iterative algorithm for ... See full document

... Takahashi, “Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications , vol. Wong, “Viscosit[r] ... See full document

... approximate point of the common set of solutions of an equilibrium problem and a hierarchical fixed point problem in the setting of real Hilbert ...proposed method under some mild ... See full document