[PDF] Top 20 The general iterative methods for equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in Hilbert spaces

... The set of solutions of (.) is denoted by EP(F). Given a mapping A : C → H, let F(y, u) = Ay, u – y for all y, u ∈ C. Then z ∈ EP(F) if and only if Az, u – z ≥  for all u ∈ C. Nu- merous problems in physics, ... See full document

... split equilibrium problem and investigated the convergence behavior in several ways including both weak and strong ...new methods for solving it further need to be explored in the ...the iterative ... See full document

... the iterative schemes considered in 10–12 for finding a common element of the set of common fixed points of nonexpansive mappings, the set of solutions of an equilibrium problem, and ... See full document

... finite family of split equilibrium problems and the set of common fixed points of a countable family of nonexpansive mappings in Hilbert ... See full document

... The equilibrium problems have been considered by many authors; see, for example, 6, 8–19 and the reference ...finite family of equilibrium problems and few of authors investigate the ... See full document

... an iterative method of finding the best approximation to the initial data when EPΘ is nonempty and proved a strong convergence ...an iterative scheme by the viscosity approximation method for finding a ... See full document

... of fixed points of ...a nonexpansive mapping of C into itself, then FS is nonempty; see 4 for more ...of fixed points of a nonexpansive mapping and the set of solutions of an ... See full document

... Recently iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, [4–7] and the references ...the fixed ... See full document

... of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, ... See full document

... Corollary . Let E be a real uniformly smooth and strictly convex Banach space with the Kadec-Klee property, and let C be a nonempty, bounded, closed and convex subset of E. Let f be a bifunction from C × C to R ... See full document

... new iterative scheme for finding a common element of the solutions sets of a finite family of equilibrium problems and fixed points sets of an infinite family of ... See full document

... new general iterative method by using the K-mapping for finding a common fixed point of a finite family of nonexpansive mappings in the framework of Hilbert ... See full document

... 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

... common fixed point x ∗ ∈ F(T ) , where F(T ) denotes the set of common fixed point of the nonexpansive ...The point x * solves the variational in-equality 〈(g f −A ) x* , x−x*〉 ≤ ... See full document

... an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of infinite nonexpan- sive mappings in a Hilbert ... See full document

... of Hilbert spaces which captures applications in various disciplines such as image restoration 1–4, computer tomography 5, and radiation theraphy treatment planning ... See full document

... for fixed point problems and variational inequality problems,” Journal of Inequalities and Applications, ...generalized equilibrium problem with a relaxed monotone mapping and a ... See full document

... of fixed points of nonlinear mappings is an important and active research ...particular, iterative algorithms for finding fixed points of nonexpansive mappings have received vast ... See full document

... generalized equilibrium problem (GEP) using the KKM mapping in a Banach space ...the fixed point set of countable family of nonexpansive mappings in the frameworks of ... See full document

... optimization problems, economics and ...on iterative methods has been at- tracting many authors’ ...the iterative methods, the most popular method is the Mann iterative method ... See full document