[PDF] Top 20 An iterative algorithm for system of generalized equilibrium problems and fixed point problem

... Let H be a real Hilbert space, whose inner product and norm are denoted by ·, · and · . Let C be a nonempty closed convex subset of H. Recently, Ceng and Yao [] considered the following system of ... See full document

... optimization problems, variational inequalities, minimax problems, and Nash equilibrium problems; see, for example, ...general system of generalized equilibrium ... See full document

... The set of solutions of the equilibrium problem for the bifunction F is denoted by EP(F). Let B : C → H be a nonlinear mapping. Then Blum and Oettli [], Moudafi and Thera [] and Takahashi and Takahashi [] ... See full document

... Theorem 1.1. (See [17]) Let C be a nonempty, bounded, closed, and convex subset of a real Hilbert space H and let : C ® ℝ be a lower semicontinuous and convex functional. Let T : C ® CB(H) be H -Lipschitz continuous with ... See full document

... general iterative algorithm for approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium ...proposed ... See full document

... hybrid iterative scheme for finding a common element of the set of solutions of mixed equilibrium problems, the set of common fixed points for nonexpansive semigroup and the set of solution of ... See full document

... an equilibrium problem and the set of fixed points of a finite family of nonexpansive mappings in a real Hilbert ...hybrid iterative method for finding a common element of the set GMEP of ... See full document

... important problems have reformulations which require finding solutions of clas- sical variational inequalities, for instance, image recovery, inverse problems, transporta- tion problems, fixed ... See full document

... of equilibrium problems ...The equilibrium problem ...optimization problems, variational inequalities, fixed point problems, minimax problems, Nash ... See full document

... Corollary 3.7. Let C be a nonempty closed convex subset of a real Hilbert space H and let ϕ : C → R be a lower semicontinuous and convex functional. Let Θ : C × C → R be an equilibrium bifunction satisfying ... See full document

... the problem of finding an approximate point of the common set of solutions of an equilibrium problem and a hierarchical fixed point problem in the setting of real Hilbert ... See full document

... the problem posed by Kurokawa and Takahashi ...inclusion problem for the sum of two monotone mappings, of a fixed point problem for nonexpansive mappings and of an equilibrium ... See full document

... fixed point problem ...programming problems; see ...fixed point problem; see ...convergence iterative algorithm to solve problem ... See full document

... inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications (Haifa, 2000), ... See full document

... approximation iterative method to prove a strong convergence theorem for finding a common element of the set of fixed points of strict pseudocontractions, the set of common solutions of the system of ... See full document

... optimization problems, variational inequalities, minimax problems, the Nash equilibrium problem in noncooperative games, and others; see, for instances, 15, ... See full document

... the equilibrium problem and fixed point prob- lems of strict pseudo-contraction mappings T by an iterative scheme for finding an ele- ment of EP(F) ∩ F(T ...general iterative method Liu ... See full document

... hierarchical fixed points and equilibrium problem,” Bulletin of the Australian Mathematical Society, ...general iterative algorithm for nonexpansive mappings ... See full document

... many problems that are reduced to find solutions of equilibrium problems which cover variational inequalities, fixed point problems, saddle point problems, ... See full document

... hybrid iterative scheme ...for generalized mixed equi- librium problems and the set of common fixed points of a sequence of nonexpansive ... See full document