[PDF] Top 20 Strong convergence theorems for fixed points of generalized asymptotically quasi-φ-nonexpansive mappings

... weak convergence of Krasnoselski-Mann iterative process and Ishikawa iterative process, so called hybrid projections have been considered; see [14-20] for more details and the references ... See full document

... weak convergence theorem for the alternating method with Bregman distances,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ... See full document

... of generalized asymptotically quasi-φ -nonexpansive ...investigated. Strong convergence of the purposed algorithm is obtained in a uniformly convex and uniformly smooth ... See full document

... existence theorems of fixed points were established; see, for example, ...of fixed points of nonlinear mappings, but also to be able to construct an iterative process to ... See full document

... As we all know that if C is a nonempty closed convex subset of a Hilbert space H and P C : H → C is the metric projection of H onto C, then P C is nonexpansive. This fact actually characterizes Hilbert spaces and ... See full document

... approximating fixed points of asymptotically nonexpansive ...and strong convergence theorems are established in arbitrary Ba- nach ...and strong convergence ... See full document

... a fixed point of T provided Tx = x. Denote by F(T) the set of fixed points of T ; that is, F(T) = { x ∈ C : Tx = x } ...of mappings from C into itself is called an asymptotically ... See full document

... of strong convergence is underlined in [], where a convex function f is minimized via the proximal-point algorithm: it is shown that the rate of convergence of the value se- quence {f (x n )} is ... See full document

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

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

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

... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [3] who proved that every asymptotically nonex- pansive self-mapping of nonempty closed bounded and convex subset of a ... 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

... the strong and weak convergence of asymptotically nonexpansive self or nonself mappings, relatively nonexpansive, quasi-φ-nonexpansive and ... See full document

... every nonexpansive mapping with a fixed point is quasi-nonexpansive and all asymptotically nonexpansive maps with fixed points are asymptotically ...of generalized ... See full document

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

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

... Projection methods which were first introduced by Haugazeau [] have been consid- ered for the approximation of fixed points of nonlinear mappings. The advantage of pro- jection methods is that strong ... 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 ... See full document

... equations. Fixed points of a pseudo-contractive operator have been investigated by many authors; see [–] and the references ...fixed points of pseudo-contractive operators, we refer readers to ... See full document