[PDF] Top 20 Strong Convergence for Mixed Equilibrium Problems of Infinitely Nonexpansive Mappings

... an equilibrium problem and the set of common fixed point of infinitely many nonexpansive mappings in ...of nonexpansive mappings of C into itself and let {t n } ∞ n1 be a ... See full document

... of nonexpansive mappings, the set of common solutions to a system of generalized mixed equilibrium problems, and the set of solutions to a variational inequality problem in a real ... See full document

... of nonexpansive mappings via Mann’s iteration 1 has extensively been investigated in literature see, ...the convergence about Mann’s iteration and Ishikawa’s iteration is in general not strong ... 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

... 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

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

... -nonexpansive mappings in the intermediate sense and an equilibrium ...problem. Strong convergence theorems of common solutions are established in a uniformly smooth and strictly convex ... 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

... 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

... of equilibrium problems, the set of solutions of variational inequality problems, and the set of fixed points of finite many nonexpansive ...prove strong convergence of the ... 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 ...strongly ... See full document

... Bifunction equilibrium problems, which include many important problems in nonlinear analysis and optimization, such as the Nash equilibrium problem, variational inequalities, complementarity ... See full document

... We give new hybrid variants of extragradient methods for finding a common solution of an equilibrium problem and a family of nonexpansive mappings. We present a scheme that combines the idea of an ... See full document

... nonlinear mappings. The advantage of pro- jection methods is that strong convergence of iterative sequences can be guaranteed with- out any compact ... See full document

... Lemma . Let C be nonempty closed and convex subset of a real Banach space E, and let T : C → C be a continuous pseudo-contraction. Let f : C → C be a fixed continuous bounded and strong pseudo-contraction with ... See full document

... α-contractive mappings. It is well known that α-contractive mappings have a unique fixed ...be nonexpansive iff Tx – Ty ≤ x – y, ∀x, y ∈ ...that nonexpansive mappings have fixed points if ... See full document

... Recently, iterative algorithms have been investigated for many problems, such as economy, mechanics, transportation and optimization; see [1-11] and the references therein. In this paper, we always assume that H ... See full document

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

... of nonexpansive mappings (asymptot- ically nonexpansive mappings) and of common fixed points of nonexpansive semi-groups (asymptotically nonexpansive semigroups) is an important ... See full document