[PDF] Top 20 A Hybrid Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems in Banach Spaces

... Theorem 4.2. Let E be a 2-uniformly convex, uniformly smooth Banach space, and K a nonempty, closed convex cone in E. Let f be a bifunction from K × K to R satisfying (A1)–(A4), let A be an operator of K into E ∗ ... See full document

... a fixed point of T ...convex Banach spaces with a Fr´ehet differentiable ...this scheme has only weak convergence even in a Hilbert space ... See full document

... and hybrid method we prove a strong convergence theorem for finding a common element of the set of fixed point problems of a finite family of i -strictly pseudocontractive mappings and the set ... See full document

... new iterative process with a finite family of quasi-φ-nonexpansive mappings for a finite family of equilibrium problems and a finite family of variational inequality problems in ... See full document

... Hilbert spaces and Banach ...fixed point iterations which is supposed to induce the con- vergence in norm of the ...fixed point of T which satisfies some variational ... 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

... The variational inequality problem was initially introduced and studied by Stampacchia [] in ...years, variational inequality problems have been extended to study a large variety of ... See full document

... a hybrid relaxed extragradient method for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of the variational inequality problem for ... See full document

... new iterative algorithm for finding a common element of the set of solutions of a system of generalized mixed equilibrium problems, the set of common fixed points of a finite family of pseudo ... See full document

... “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in ... See full document

... an iterative scheme by the viscosity iterative method for finding a common element of the solution set of an equilibrium problem, the solution set of the variational inequality, ... See full document

... different problems and study the problem of finding the equilibrium problem coupled with fixed point ...an iterative scheme for finding the best approximation to the initial data of the ... 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 ... See full document

... an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points of ... See full document

... viscosity iterative algorithm for the implicit midpoint rule of nonexpansive mappings in uniformly smooth ...fixed point problems of strict pseudocontractive mappings, variational ... See full document

... the iterative scheme and extend the space studied in (Fixed Point Theory and Applications 2012:46, ...new iterative scheme for variational inequality ... See full document

... an iterative method for finding a common element of the set of fixed points of a strict pseudocontraction and of the set of solutions to the problem ... See full document

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

... Lemma 2.9 [23]. Let E be a real uniformly smooth and strictly convex Banach space with Kadec-Klee property and C be a nonempty closed and convex subset of E. Let T : C ® C be a closed and quasi- ϕ -asymptotically ... See full document

... new iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach ... See full document