[PDF] Top 20 A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces

... the problems of finding a common element of the set of fixed points for a mapping and the set of solutions of equilibrium problem in the setting of Hilbert space and uniformly smooth and uniformly ... See full document

... established strong convergence results in a Banach ...such strong convergence results by using the notion of Mosco convergence; see also ...generalized equilibrium ... See full document

... a new hybrid projection algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of the variational inequality for an inverse-strongly monotone operator and the ... See full document

... The solution set of VIP (.) is denoted by VI(C, A). Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of obstacle, unilateral, free, ... See full document

... a new iterative algorithm for the problem of finding a common element in the set of solutions to the system of equilibrium problem and the set of fixed points of a nonexpansive ...following ... See full document

... of fixed points of S by ...of fixed points of a nonexpansive ...Banach spaces. Some methods have been proposed to solve the equilibrium problem; see, for instance, 1, 2, 6, ...a ... See full document

... of equilibrium problems and/or the set of fixed points of mappings and/or the set of solutions of variational inequalities) with their applications have been dis- ...some strong or weak ... See full document

... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document

... mixed equilibrium problems and the set of common fixed points of an finite family of nonexpansive ...a strong convergence theorem under some mild condi- ... See full document

... Theorem . Let E be a reflexive, strictly convex and uniformly smooth Banach space which satisfies Opial’s condition, and let K be a nonempty closed convex subset of E. Let S = { T(s) : s ≥  } : K → K be a ... See full document

... optimization problems, economics and ...weak convergence for nonexpansive mappings in infinite dimension spaces; see [] and the reference ...study equilibrium problems, fixed ... See full document

... an equilibrium problem and the set of common fixed points of infinite nonexpan- sive mappings in a Hilbert ...a strong-convergence theorem under mild assumptions on ... See full document

... fixed point problems of a (relatively) nonexpan- sive mapping based on hybrid projection methods; for more details, see [–] and the references ...strong convergence. In this arti- cle, we ... See full document

... a new iterative process ...of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the generalized equilibrium problem, and the set of solutions of variational ... See full document

... in Theorem . has only weak convergence. In order to obtain strong convergence theorem, very recently, Zeng and Yao [] further introduced a new extragradient method for finding ... See full document

... convex Banach spaces, they proved that if C is nonempty bounded closed and convex, then every asymptotically nonexpansive self-mapping T on C has a fixed ...fixed point set of T is closed and ...and ... See full document

... Let T : C → C be a map, a point x ∈ C is called a fixed point of T if Tx = x, and the set of all fixed points of T is denoted by F(T ). The mapping T is called L-Lipschitzian or simply Lipschitz if there ... See full document

... existence theorem of fixed point for nonspreading mappings in a Banach ...approximation theorem of common fixed points for a nonexpansive mapping T of C into itself and a ... See full document

... weak convergence in the setting of infinite-dimensional Hilbert ...a new relaxed CQ algorithm (.) such that the strong conver- gence is guaranteed in infinite-dimensional Hilbert ... 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 ... See full document