[PDF] Top 20 A New Hybrid Iterative Algorithm for Fixed-Point Problems, Variational Inequality Problems, and Mixed Equilibrium Problems

... Let C be a nonempty closed convex subset of a real Hilbert space H. Recall that a mapping f : C → C is called contractive if there exists a constant α ∈ 0, 1 such that fx − fy ≤ αx− y for all x, y ∈ C. A mapping T : C → ... See full document

... an iterative scheme for finding a common element of the set of fixed points of a k-strictly pseudocontractive mapping, the set of solutions of a variational inequality and the set of solutions ... See full document

... erative algorithm to a common solution of problem (.) and the fixed point problem of finitely many nonexpansive ...the hybrid steepest-descent method in [], the viscosity approximation method, and ... See full document

... Denote the set of solutions of MEP by . The MEP includes fixed point problems, opti- mization problems, variational inequality problems, Nash EPS and the EP as special cases. ... See full document

... following iterative scheme for finding a common element of the set of solution of generalized equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert ...following ... See full document

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

... an equilibrium problem, the set of fixed points of a nonexpansive mapping and the set of solutions of a variational ...an equilibrium problem, the set of fixed points of a nonexpansive ... See full document

... an iterative algorithm for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of an equilibrium prob- lem, and the solution set of the ... See full document

... some new iterative algorithms with variable coefficients for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of the variational ... See full document

... a new iterative method for finding a common element of the set of solutions of a gener- alized mixed equilibrium problem ...of fixed points of a countable family of nonexpansive ... See full document

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

... generalized equilibrium problem ...the equilibrium problem when the bifunction h is a zero mapping; this problem reduces to the mixed equilibrium problem when the bifunction h(x ∗ , x) = ϕ(x) ... See full document

... the variational inequality and the generalized equilibrium ...we mixed and modified the iterative methods ...following new general viscosity iterative method: x  , u n ∈ C ... See full document

... general iterative algorithm for finding a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of infinitely many ... See full document

... Yang, L, Zhao, F, Kim, JK: Hybrid projection method for generalized mixed equilibrium problem and fixed point problem of infinite family of asymptotically quasi-φ -nonexpansive mappings in[r] ... See full document

... a new scheme for finding an element in the common fixed point set of finite family of closed relatively quasi-nonexpansive mappings, common solutions set of finite family of equilibrium ... See full document

... Given a mapping T : C ® H, let G(x, y) = 〈 Tx, y - x 〉 for all x, y Î C. Then, z Î EP (F) if and only if 〈 Tz, y - z 〉 ≥ 0 for all y Î C, i.e., z is a solution of the variational inequality. Let A : C ® H ... See full document

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

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

... Theorem 3.1. Let E be a 2-uniformly convex, uniformly smooth Banach space, let C be a nonempty closed convex subset of E. Let f be a bifunction from C × C to R satisfying (A1)–(A4), let A be an operator of C into E ∗ ... See full document