[PDF] Top 20 Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups

... strong convergence theorem for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical ...a convergence theorem by the new iterative method introduced by ... See full document

... Corollary 3.2. Let E be a real q-uniformly smooth and strictly convex Banach space which admits a weakly sequentially continuous duality mapping J from E to E ∗ . Let C be a nonempty closed and convex subset of E which ... See full document

... three-step iterative approximation problems were studied extensively by Noor [13, 14], Glowin- sky and Le Tallec [7], and Haubruge et al ...three-step iterative scheme gives better numerical results ... See full document

... for nonexpansive and asymptotically nonexpansive mappings in Ba- nach space including Mann type and Ishikawa type iteration processes have been studied extensively by various authors; see [, ...and ... See full document

... a modified Ishikawa iterative process for approximating a fixed point of two infinitely nonexpansive self-mappings by using the hybrid method in a Hilbert space and prove that the ... See full document

... strong convergence theorems and a weak convergence theorem of modified S-iteration scheme ...for two nearly asymptotically nonexpansive mappings in the framework of Banach ... See full document

... strong convergence theorems are proved in the framework of a reflexive Banach space which admits a weakly continuous duality ...strong convergence theorems of the following new ... See full document

... new two-step iterative scheme with errors for finding a common fixed points of two quasi-nonexpansive multi- valued maps in Banach ...strong convergence theorem of the purposed ... See full document

... weak convergence. Further, Dhompongsa and Panyanak [6] obtained ∆-convergence theorems for the Picard, Mann and Ishikawa iterations in a CAT(0) ...of iterative sequences to a fixed ... See full document

... We consider the iterative scheme computing by the hybrid method some authors call the CQ- method. The following result is proved by He and Chen 3. However, the important part of the proof seems to be ... See full document

... hemi-relatively nonexpansive mapping. Note that, since the hybrid iterative methods presented by Qin and Su 15 and Matsushita and Takahashi 14 cannot be used for hemi-relatively nonexpansive ... See full document

... Let (X , || · ||) be a real Banach space and let K be a nonempty subset of X. A mapping T : K → K is said to be nonexpansive, if ||T x − Ty|| ≤ ||x − y||, for each x, y ∈ K. (see [1]). During last four decades ... See full document

... by Theorems 7, 9, and 10 concerning the convergence condi- tions of the iterative schemes for quasi-nonexpansive and asymptotically quasi-nonex- pansive mappings in Banach spaces, by using ... See full document

... a nonexpansive semigroup from K into K such that F(S) = ∅ and X be a subspace of ∞ (S) containing  and the mapping t → T (t)x, y be an element of X for each x ∈ K and y ∈ H, and μ be a mean on ... See full document

... 1. Introduction. Let C be a closed convex subset of a Banach space X and T : C → C be a nonexpansive mapping (i.e., T x−T y ≤ x −y for all x, y in C). Recently, Deng and Li [1] introduced an Ishikawa ... See full document

... successfully, with modifications, by many authors [4, 13, 18, 22]. In 1997, Jung and Kim [9] extended Bauschke’s result to a Banach space and Shioji and Takahashi [19] im- proved Wittmann’s result to a certain Banach ... See full document

... be nonexpansive if Tx–Ty ≤ x– y for all x, y ∈ ...every nonexpansive mapping on C has a fixed ...asymptotically nonexpansive mapping on C has a fixed ... See full document

... the convergence and stability of iterates of nonexpansive set-valued mappings in the sense of Baire category, which are different from the ones we have established in this ... See full document

... modified Ishikawa iteration sequence with errors converging strongly to a fixed point of the uniformly Lipschitzian strongly succes- sively pseudocontractive mapping under the lack of some ...modified Ishikawa ... See full document

... mean nonexpansive mappings in hyperbolic ...mean nonexpansive mappings from uniformly convex Banach spaces and CAT(0) spaces to uniformly convex hyperbolic spaces, since the class of uniformly convex ... See full document