[PDF] Top 20 Strong convergence theorems for equilibrium problems involving a family of nonexpansive mappings

... optimization problems, variational inequalities, minimax problems, equilibrium equilibriums, fixed point problems (see, ...underlying equilibrium problem when F ∩ Sol(f , C) = ∅ ...a ... See full document

... proved 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 ... See full document

... Theorem 1.2 Kumam 49. Let K be a nonempty closed convex subset of a real Hilbert space H. Let F be a bifunction from K × K satisfying (A1)–(A4), and let B be a β-inverse-strongly monotone mapping of K into H. Let T be a ... See full document

... interval [0, 1]. But Mann’s iteration process has only weak convergence, in general. For example, Reich [4] shows that if E is a uniformly convex Banach space and has a Frehet differentiable norm and if the ... See full document

... point problems and variational inequality problems,” Journal of Inequalities and Applications, ...“Strong convergence theorems for a generalized equilibrium problem with a ... See full document

... finite family of asymptotically quasi- φ -nonexpansive mappings in the intermediate sense and an equilibrium ...problem. Strong convergence theorems of common solutions are ... See full document

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

... an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping is studied by Takahashi and Zembayashi in 15, ...corresponding convergence theorems under the weaker ... See full document

... Throughout this paper, we always assume that H is a real Hilbert space with the inner product ·, · and the norm · and C is a nonempty closed convex subset of H. Let S : C → C be a nonlinear mapping. In this paper, we use ... See full document

... called nonexpansive if Sx − Sy ≤ x − y for all x, y ∈ ...the equilibrium problem ...relatively nonexpansive mapping S in a Banach space X. They also studied the strong and weak ... 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

... a strong convergence theorem; for more details, see [] and the references ...the equilibrium problem and fixed points of generalized asymptoti- cally quasi-φ-nonexpansive ...A strong ... 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

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

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

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

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

... 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 investigate a ... See full document

... weak convergence of a Krasnoselski-Mann iterative process, so-called hybrid projections have been considered; see [–] for more details and the references ... See full document

... In this paper, we investigate a proximal point algorithm with double computational er- rors based on regularization ideas in the framework of Banach spaces. The organization of this paper is as follows. In Section , we ... See full document