[PDF] Top 20 An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems

... On the other hand, for solving the equilibrium problem EP, Moudafi 23 presented a new iterative algorithm and proved a weak convergence theorem. Ceng et al. 24 introduced another iterative algorithm for finding an ... See full document

... an extragradient method for fixed point problems and variational inequal- ity ...this method, we can find the common element of the set of fixed points of a nonexpansive ... See full document

... fixed point problem of finitely many nonexpansive ...Korpelevič’s extragradient method [], the hybrid steepest-descent method in [], the viscosity approximation method, and the averaged ... See full document

... of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone mapping, and the set of solutions of a mixed equilibrium ...solves ... See full document

... generalized mixed equilibrium problems include, as special cases, some optimi- zation problems, fixed point problems, variational inequality problems, Nash equili- ... See full document

... The equilibrium problem includes the fixed point problem, the variational inequality problem, the optimization problem, the saddle point problem, the Nash equilibrium problem and so on, as its ... See full document

... shrinking method for finding a common element of the set of solution of the split feasibility problem and common fixed points of an infinite family of nonexpansive ... See full document

... We will introduce and analyze a general iterative algorithm for finding a common solu- tion of MEP (.), GSVI (.) and the fixed point problem of infinitely many nonexpansive mappings in a real Hilbert space. Under ... See full document

... the extragradient iterative process introduced by Korpelevich was successfully generalized and extended not only in Euclidean but also in Hilbert and Banach spaces; see, for example, the recent papers of He et ... See full document

... of fixed points of a k- strictly pseudocontractive mapping, the set of solutions of the variational inequality for an inverse- strongly monotone mapping, and the set of solutions of the mixed ... See full document

... iterative method for finding a common solution of variational inequalities, a generalized mixed equilibrium problem, and a hierarchical fixed point problem in the setting of a real Hilbert ... See full document

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

... The class of strictly pseudocontractive mappings falls into the one between classes of nonexpansive mappings and pseudocontractive mappings. Within the past several decades, many authors have been devoted to the studies ... See full document

... the extragradient method for finding a common element of the set of solutions of a generalized mixed equilibrium prob- lem, the set of fixed points of nonexpansive mappings and the set of ... See full document

... s extragradient method [6], Nadezh- kina and Takahashi [7] introduced an iterative scheme, called extragradient method, for finding an element of F(S) ∩ Ω and established the weak convergence ... See full document

... Korpeleviˇc’s extragradient method 7, Nadezhkina and Takahashi 8 introduced an iterative scheme for finding an element of FS ∩ VIA, C and the weak convergence theorem is ... See full document

... descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their ... See full document

... stationary point of these func- tions is a global minimum, since the gap functions is nonconvex ...and extragradient methods rather than methods based on gap functions, which generalized the ... 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 ...proposed ... See full document

... the method different from the relaxed extragradient method for finding a common element of the set of fixed points of a quasi-nonexpansive mapping, the set of solutions of equilibrium ... See full document