[PDF] Top 20 An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces

... Let K be a nonempty closed convex subset of a uniformly convex Banach space E. Let S : K→K be a nonexpansive mapping and let T : K→K be an asymptotically nonexpansive mapping. In 10, the ... See full document

... an implicit (or nonimplicit) itera- tive process to a common fixed point for a finite family of asymptotically nonexpansive mappings (or nonexpansive mappings) in Hilbert ... See full document

... a Banach space setting, when f is relaxed ξ ...hybrid iterative scheme and prove that our proposed iterative scheme converges strongly to a common element of the set of solutions of ... See full document

... asymptotically nonexpansive mappings in Banach ...two nonexpansive mappings and a finite family of nonexpansive mappings, and proved some convergence theorems ... See full document

... an implicit (or non-implicit) iterative process to a common fixed point for a finite family of asymptotically nonexpansive mappings (or nonexpansive mappings) ... See full document

... Ishikawa iterative algorithms with errors for finding a common element of solutions to the generalized mixed equilibrium problems ...a countable fam- ily of Bregman totally quasi-D-asymptotically ... See full document

... Halpern’s iterative sequence for finite nonexpansive mappings in Hilbert ...a Banach space. By using the Banach limit as in [19, 23], Zhou et ...the iterative scheme (1.1) ... See full document

... an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on unbounded sets ... See full document

... the iterative approximation of fixed points of asymptotically nonexpansive mappings, asymptotically quasi-nonexpansive mappings, asymptoti- cally nonexpansive ... See full document

... an implicit iterative process with errors converges strongly to a com- mon fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings on unbounded ... See full document

... For iterative algorithms, the most oldest and simple one is Picard iterative ...Picard iterative algorithm can converge to the unique fixed ...general nonexpansive mappings, Picard ... See full document

... exists for each x, y ∈ U. It is also said to be uniformly smooth if the limit is attained uniformly for x, y ∈ U. It is well known that p and L p 1 < p < ∞ are uniformly convex and uniformly smooth; see Cioranescu ... See full document

... of asymptotically nonexpansive self-mappings, which is an important generalization of the class of nonexpansive self- mappings, and proved that if K is a nonempty closed convex subset ... See full document

... 12 I. Yamada, “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility ... See full document

... () A nonself mapping T : D → X is said to be quasi-φ-nonexpansive if F(T ) = , and φ p, T (PT) n– x ≤ φ(p, x), ∀ x ∈ D, p ∈ F(T ), ∀ n ≥ ; (.) () A nonself mapping T : D → X is said to be ... See full document

... 2. Preliminaries. Let E be a Banach space with C as its nonempty convex subset. Throughout this paper, N denotes the set of positive integers and F(T ) the set of fixed points of the mapping T . Now we list the ... See full document

... i ∈ I assumed in Theorems 1.1 and 1.2 is not imposed in our theorem. We do not want to make the general assumption that the iteration process is defined. If one assumes that the iteration process is always defined, our ... See full document

... Fixed point theory as an important branch of nonlinear analysis theory has been applied in the study of nonlinear phenomena. During the four decades, many famous existence theorems of fixed points were established; see, ... See full document

... struct iterative sequence to find the minimum-norm fixed point of a nonexpansive mapping T, ...two iterative methods (one implicit and one explicit) for finding the minimum-norm fixed point of ... See full document

... a countable family of nonexpansive mappings is introduced and ...proposed iterative scheme to a common fixed point of a countable family of nonexpansive ... See full document