[PDF] Top 20 Strong convergence theorems for equilibrium problems and fixed point problem of multivalued nonexpansive mappings via hybrid projection method

... every nonexpansive multivalued mapping satisfies the condition ...of multivalued mappings has applications in control theory, convex optimiza- tion, differential equations and ...of ... See full document

... 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 ... See full document

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

... of fixed points of nonexpansive mappings and asymptotically nonexpan- sive mappings is an important subject in nonlinear operator theory and its applications, in particular, in image recovery ... See full document

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

... fixed point problems, and zero point problems have been investigated by many authors based on iterative methods; see, for example, [–] and the references ...zero point ... See full document

... extragradient method for fixed point problems and variational inequality problems,” Journal of Inequalities and Applications, ...“Strong convergence theorems for a ... 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

... a strong convergence theorem; for more details, see [] and the references ...the projection algorithm for treating solutions of the equilibrium problem and fixed points of generalized ... See full document

... a hybrid subgradient method for finding a common element of the set of solutions of a class of pseudomonotone equilibrium problems and the set of fixed points of a finite family of ... See full document

... the convergence of iterative algo- rithms for quasi-φ-asymptotically nonexpansive (see [–]) and total quasi-φ-asymptoti- cally nonexpansive (see [–]) ...new hybrid projection al- ... See full document

... -nonexpansive mappings and of the set of solutions for finite equilibrium problems in a real Banach ...in Fixed Point Theory ...in Fixed Point Theory ... See full document

... new hybrid variants of extragradient methods for finding a common solution of an equilibrium problem and a family of nonexpansive ...extragradient method and a successive iteration ... See full document

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

... optimization problems, economics and ...popular method is the Mann iterative method which was introduced by Mann in ; see [] and the ref- erences ...weak convergence for ... 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 ... See full document

... imal point algorithm; for more detail, see [] and the references therein. Regularization methods recently have been investigated for treating zero points of monotone operators; for [–] and the references ... See full document

... whose solutions correspond to the equilibrium points of (.). An early fundamental result in the theory of accretive operators, due to Browder [], states that the initial value prob- lem (.) is solvable if A ... 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 ... 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 ... See full document