[PDF] Top 20 Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems

... 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

... an iterative scheme of finding the best approximation to initial data when EPΦ is nonempty and proved a strong convergence ...some iterative algorithms for solving equi- librium ... See full document

... the fixed points of the nonexpansive ...some iterative schemes for finding a common element of a set of the solutions of the equilibrium problems and a set of the fixed points of ... See full document

... Many iterative algorithms has been introduced for finding fixed points of nonexpansive mappings, quasi-nonexpansive mappings, firmly nonexpansive mappings, demicontrac- tive mappings (see [1–6]), including the ... See full document

... of generalized equilibrium problems, system of variational inequality problems, and fixed point problems by using S-mapping generated by a finite family of ... See full document

... following convergence theorem for approximation of fixed point of a nonexpansive mapping which is also a common solution to a system of generalized mixed equilibrium problems and ... See full document

... Equilibrium problems which were introduced by Ky Fan [] and further studied by Blum and Oettli [] have intensively been investigated based on iterative ...rium problems have emerged as an ... 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 equilibrium problem and the set of the variational inequality for an inverse-strongly monotone operator and the set of fixed points of relatively quasi- nonexpansive mappings in a Banach ... See full document

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

... an iterative method for finding a common element of a solution set of a generalized equilibrium problem, of a solution set solutions of a variational inequality problem and of a ... See full document

... hierarchical fixed point approach to variational inequalities,” Bulletin of the Australian Mathematical Society, ...“Strong convergence of an iterative method for hierarchical ... See full document

... and generalized to suggest and analyze similar iterative methods for solving equilibrium ...explicit iterative methods for solving equi- librium ...fixed point of nonexpansive and ... See full document

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

... classical variational inequality (1.2) and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...for variational ... See full document

... the fixed points set of relatively nonexpansive mapping, the solution set of equili- brium problem and solution set of variational inequality problem for g-inverse mono- tone mapping (see, ...of ... See full document

... general iterative scheme for find- ing a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of the generalized mixed equilibrium problem ... See full document

... given fixed point problem, i.e., fixed points which solve a variational ...a fixed point of a nonexpansive semigroup S = {T(s)} s ≥ 0 with respect to another monotone operator A, ... See full document

... where ·, · denotes the generalized duality pairing. A Banach space E is called strictly convex if x y/2 < 1 for all x, y ∈ E with x y 1 and x / y. It is said to be uniformly convex if x n − y n → 0 for any two ... See full document