[PDF] Top 20 Convergence theorems for a system of equilibrium problems and fixed point problems of a strongly nonexpansive sequence

... Throughout this paper, we assume that H is a real Hilbert space with the inner product ·, · and the norm ·. A mapping T of C into itself is called nonexpansive if Tx –Ty ≤ x –y for all x, y ∈ H. The set of fixed ... See full document

... strong convergence theorems for approximation of com- mon fixed points of countably infinite family of asymptotically quasi-φ-nonexpansive mappings in a uniformly smooth and strictly convex real Banach ... See full document

... Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...mappings. ... See full document

... Strong convergence theorems for common solutions of a system of equilibrium problems and a family of asymptotically quasi- φ -nonexpansive mappings are established in a uniformly ... See full document

... Theorem 2.1. Let C be a nonempty closed and convex subset of a real Hilbert space H and F a bifunction from C × C to R satisfying (A1)–(A4). Let A be an α-inverse-strongly monotone mapping of C into H and B a ... See full document

... Recently, many authors considered the problem of finding a common element in the set of fixed points of a nonexpansive mapping and in the set of solutions of the equili- brium problem (1.1) based on ... See full document

... real sequence in [a, ∞ ), where a is some positive real ...strong convergence theorem; for more details, see [] and the references ...the equilibrium problem and fixed points of generalized ... 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

... Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ -nonexpansive ...mappings. ... See full document

... There are a substantial number of numerical methods including projection technique and its variant forms, Wiener-Hopf equations, the auxiliary principle technique, and re- solvent equations methods for solving ... See full document

... an equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert ...strong convergence theorems which extend and generalize ... 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 uniformly ... See full document

... fixed point of the mapping Proj C (I – rA), where r >  is a constant, I stands for the identity mapping, and Proj C stands for the metric projection from H onto ...is nonexpansive; see [] for more ... See full document

... Lemma 1.3. Let C be a nonempty closed convex subset of a real Hilbert space H and let P C be the metric projection from H onto C(i.e., for x ∈ H, P C x is the only point in C such that kx − P C xk = inf{kx − zk : ... See full document

... -asymptotically nonexpansive semigroups; to modify the Halpern and Mann-type iteration algorithm [, ] for total quasi-φ-asymptotically nonexpansive semigroups; and to have the strong convergence ... See full document

... The purpose of this paper is to investigate a hybrid projection algorithm for a pair of generalized asymptotically quasi-φ -nonexpansive mappings. The organization of this pa- per is as follows. In Section , we ... See full document

... fixed point of an infinite family of quasi- φ -asymptotically nonexpansive mappings in the intermediate sense in Banach ...strong convergence theorem of the iterative sequence generated by the ... See full document

... of fixed points of infinite nonexpansive mappings in a Hilbert ...strong convergence theorem which improves and extends the corresponding results of [2, ... See full document

... fixed point problems of rela- tively nonexpansive mappings based on hybrid projection ...strong convergence theorem was established in a uniformly convex and uniformly smooth Banach ... See full document

... In this paper, we are concerned with the problem of finding zero points of accretive oper- ators. Interest in accretive operators stems mainly from their firm connection with equa- tions of evolution, and this is an ... See full document