[PDF] Top 20 Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

... of nonexpansive mappings on closed and convex subsets of a Hilbert space (see also ...of nonexpansive mappings on bounded closed convex subsets of a Banach space has been considered by ... See full document

... strong convergence of the multi-step iterative algorithm with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings to converge to common ... See full document

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

... strong convergence theorems of an implicit iteration process with errors to converge to common fixed points for a finite family of uniformly L-Lipschitzian total asymptotically pseudo- ... See full document

... the convergence of common fixed point for generalized asymptotically quasi-nonexpansive mappings in real Banach spaces and give the necessary and sufficient condition ... See full document

... of asymptotically quasi-nonexpansive mapping and general implicit iterative process and without the boundedness of C which in turn generalizes Theorem 2 by Wittmann [21] from Hilbert ... See full document

... totically nonexpansive mappings based on a general implicit iterative algorithm, which includes an explicit process as a special ...weak convergence theorems are established in a ... See full document

... convex Banach space, C a nonempty closed convex subset of ...with errors in the sense of Xu (1998) generated by { T j : C → C } r j=1 as follows: U n(j) = a n(j) I + b n(j) T j n U n(j − 1) + c n(j) u n(j) ... See full document

... weak convergence theorems for a pair of nonself asymptotically nonexpansive mappings in a uniformly convex Banach ...strong convergence of the scheme of type ...uous ... See full document

... convex Banach space with Kadec-Klee property. In order to get the theorems, the hybrid algorithms are presented and are used to approximate the fixed ... See full document

... a Banach space X. A mapping T : C → C is said to be nonexpansive if Tx – Ty ≤ x – y for all x, y ∈ ...called quasi- nonexpansive [] if F(T ) = ∅ and Tx – p ≤ x – p for all x ∈ C and for all p ... See full document

... Jx = x ∗ ∈ E ∗ : x, x ∗ = x  = x ∗  , ∀x ∈ E, (.) where · , · denotes the generalized duality pairing. Recall that if E is smooth, then J is single-valued and norm-to-weak ∗ continuous, and that if E is ... See full document

... with errors for approximating common fixed point of a finite family of uniformly L-Lipschitzian asymptotically quasi-nonexpansive type mappings in the frame- work of convex metric ... See full document

... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [] in ...convex Banach spaces, they proved that if C is nonempty bounded closed and convex, then every ... See full document

... the convergence of the implicit iteration process ...of generalized asymptotically quasi-nonexpansive ...Strong convergence theorems are obtained in the framework ... See full document

... The purposes of this article is to study Algorithms (1.1) and (1.2) with the help of additional metric projections for the new mapping. The organization of this article is as follows. In Section 2, we provide some ... See full document

... of nonexpansive mappings (asympto- tically nonexpansive mappings), and of common fixed points of nonexpansive semi- groups (asymptotically nonexpansive semi-groups) is an ... 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

... 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

... of mappings mentioned above have been studied extensively by various authors (see [1, 2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20, 21, 23, 24, 25, 26, 27]) and several important fixed point theorems ... See full document