[PDF] Top 20 Strong Convergence Theorem for Equilibrium Problems and Fixed Points of a Nonspreading Mapping in Hilbert Spaces

... 0, 1. Mann iteration has been extensively investigated for nonexpansive mappings. In an infinite-dimensional Hilbert space, Mann iteration can conclude only weak convergence see 12, 13. Fourteen years ... See full document

... weak convergence theorem for finding a solution of a system of mixed equilibrium problems and the set of fixed points of a quasi-nonexpansive mapping in Hilbert ... See full document

... of fixed point problem and the set of equilibrium problem in Hilbert spaces, for instance, [2, 3, ...the strong convergence theorem for finding solution of the set of ... See full document

... of fixed points of S by ...of fixed points of a nonexpansive ...both Hilbert and Banach ...the equilibrium problem; see, for instance, 1, 2, 6, ...a strong ... See full document

... ergodic theorem of Baillon’s type, Kurokawa and Taka- hashi [13] introduced two iterative schemes for finding a fixed point of a nonspreading ...and strong convergence theorems of the ... See full document

... valued mapping and the strong convergence of its iterates to a fixed point defined on a closed and convex subset of a Hilbert space by using the best approximation operator P T x, which is ... See full document

... a strong convergence theorem for finding a common element of the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively ... See full document

... a strong convergence theorem by using a hybrid method for finding a common element of the set of solutions for generalized mixed equilibrium problems, the set of fixed ... See full document

... common fixed points of finite many nonexpansive mappings in a Hilbert ...common fixed points of finite many nonexpansive ...common fixed points of finite many nonexpansive ... See full document

... generalized equilibrium problem 1.6 and a strictly pseudocontractive mapping based on the shrinking projection algorithm which was first introduced by Takahashi et ...A strong convergence of ... See full document

... of fixed points of strict pseudo-non spreading mapping, T and the set of zeros of sum of an α −inverse strongly monotone mapping A and a maximal monotone operator B in a real Hilbert ... See full document

... fixed points of strict pseudo-contractive mappings. In (Hussain et al. in Fixed Point Theory ...nonexpansive mapping under suitable hypotheses on the ... See full document

... point problems of a Lipschitz pseudo-contraction and generalized mixed equilibrium problems in Hilbert ...The strong convergence theorems are proved under some mild conditions on ... See full document

... a fixed point of S if Sx = x. We denote the set of fixed points of the mapping S by F ...contractive mapping and F (S) 6= ∅, then F (S) is closed and ... See full document

... of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach ...the strong convergence of the ... See full document

... whenever Qx tx− Qx ∈ C for x ∈ C and t 0. A mapping Q : C → D is called a retraction if Qx x for all x ∈ D. Furthermore, Q is a sunny nonexpansive retraction from C onto D if Q is a retraction from C onto D which ... See full document

... and fixed point problem of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...inequality problems and fixed point set of nonexpansive mappings. ... See full document

... Recently, fixed point iterations of relatively nonexpansive mappings and quasi-φ -nonexpansive mappings have been considered by many authors; see, for example [1-12] and the references ...considered fixed ... See full document

... fixed points of a nonlinear mapping play very important roles in investigating many nonlinear ...pseudononspreading mapping and the closeness and convexity of the set of fixed points of such a ... See full document

... fixed points of a nonexpansive semigroup in a Hilbert space. They proved, under the certain appropriate conditions, the iterative algorithm converges strongly to the unique solution of a variational ... See full document