[PDF] Top 20 Hybrid algorithms of nonexpansive semigroups for mixed equilibrium problems, variational inequalities, and fixed point problems

... tion of H onto C. In the sequel, we denote by → and the strong convergence and weak convergence, respectively. Let φ : C → be a real-valued function and : C × C → be an equilibrium bifunctions, i.e., (u, u) =  ... See full document

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

... The mixed equilibrium problems include fixed point problems, variational inequality problems, optimization problems, Nash equilibrium problems, ... See full document

... nonlinear variational inequalities with perturbed mappings ...common fixed points of a one-parameter nonexpansive semigroup in Banach ... See full document

... new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a ... See full document

... fixed point problem (.) links with some mono- tone variational inequalities and convex programming problems; see ...fixed point problem; see ... See full document

... of fixed points of a family of finitely nonexpansive mappings, the set of solutions of mixed equilibrium problem and the set of solutions of a variational inequality problem for a ... See full document

... Yamada’s hybrid steepest-descent method [] and Colao, Marino, and Xu’s hybrid viscosity approximation method [], Ceng et ...a hybrid iterative method for finding a common element of the set of ... See full document

... a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed point for a nonexpansive ... See full document

... the variational inequality, there are several other problems, for example, the complementarity problem, minimax problems, the Nash equilibrium problem in noncooperative games, fixed ... See full document

... for nonexpansive semigroups, the set of solutions of generalized mixed equilibrium problems and the set of solutions of the variational inclusion for a β -inverse strongly ... See full document

... a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of infinitely many nonexpansive mappings in a real Hilbert ... See full document

... common fixed points for nonexpansive semi- groups, the set of common fixed points for an infinite family of ξ-strict pseudocontraction, the set of solutions of a systems of mixed ... See full document

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

... imal point algorithm; for more detail, see [] and the references therein. Regularization methods recently have been investigated for treating zero points of monotone operators; for [–] and the references ... See full document

... Note that the class of κ-strict pseudocontractions strictly includes the class of nonexpan- sive mappings as a special case. That is, T is nonexpansive iff the coefficient κ = . T is said to be an asymptotically ... See full document

... Fixed point theory of nonlinear mapping is a popular research topic of common interest in two areas of nonlinear analysis and ...fixed point techniques have been applied in such diverse fields as ... See full document

... Corollary . Let E be a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property. Let C be a nonempty closed and convex subset of E. Let f be a bifunction from C × C to R satisfying ... See full document

... fixed point problems of a (relatively) nonexpan- sive mapping based on hybrid projection methods; for more details, see [–] and the references ...bifunction equilibrium problem and a fixed ... See full document

... Corollary . Let C be a nonempty, closed and convex subset of a real Hilbert space H. Let F be a bifunction from C × C to R which satisfies (A)-(A) and A : C → H be a κ - inverse-strongly monotone mapping. Let S : C → ... See full document