[PDF] Top 20 The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces

... In this paper, inspired and motivated by Chang et al. [], Cholamjiak and Suantai [], Li, Li and Su [], Wangkeeree and Wangkeeree [] and Wangkeeree et al. [], we in- troduce the following iterative ... See full document

... of asymptotically nonexpansive semigroups in the setting of two Banach spaces, and we obtain some weak and strong convergence theorems of the iteration scheme ... See full document

... The purpose of this article is to use the modified Halpern-Mann type iteration algorithm for total quasi- φ -asymptotically nonexpansive semigroups to prove strong convergence in Banach ... See full document

... -asymptotically nonexpansive semigroups; to modify the Halpern and Mann-type iteration algorithm [, ] for total quasi-φ-asymptotically nonexpansive semigroups; and to have ... See full document

... Theorem . Let S be a left reversible semigroup, and let ϕ = {T (s) : s ∈ S} be an asymp- totically nonexpansive semigroup on a nonempty compact convex subset C of a smooth Banach space E such that Fix(ϕ) ... See full document

... of nonexpansive mappings. Let C be a closed convex subset of a Banach space ...a nonexpansive semigroup on E if it satisfies the fol- lowing ... See full document

... [12] iterative sequence to converge strongly to a fixed point of quasi-nonexpansive ...Ishikawa-type iterative sequence to converge to a fixed point of quasi-nonexpansive ...more ... See full document

... which is called the equilibrium problem. Denote the set of solutions of (.) by EP(f ). It is well known that mixed equilibrium problems and their generalizations have been important tools for solving problems arising ... See full document

... On the other hand, Moudafi 3 introduced the viscosity approximation method for nonexpansive mappings see 4 for further developments in both Hilbert and Banach spaces. Let f be a contraction on H such ... See full document

... of nonexpansive maps. The analysis of general iterative schemas, in a more general setup, is a problem of interest in theoretical numerical ...a general iterative schema for two ... See full document

... are asymptotically nonexpansive in the intermediate sense was introduced by Bruck et ...convex Banach space E and T is a self-mapping of K which is asymptotically nonexpansive in the ... See full document

... convex Banach space E. Let S : K→K be a nonexpansive mapping and let T : K→K be an asymptotically nonexpansive ...following modified Ishikawa iteration sequence with errors with respect ... See full document

... Using the Hahn-Banach theorem, it is immediately clear that Jx / φ for each x ∈ E. The multivalued mapping J from E into E ∗ is said to be the normalized duality mapping. A Banach space E is said to be ... See full document

... Halpern-type iterative method for finding a common element of the fixed point set of a relatively nonexpansive mapping and the zero set of a maximal monotone operator in a uniformly convex and uniformly ... See full document

... more general class of asymptotically nonexpansive mappings called total asymptotically nonex- pansive mappings and studied the methods of approximation of fixed ...total ... See full document

... where ·, · denotes the generalized duality pairing. Let C be a nonempty, closed and convex subset of a Banach space E. The bifunction f : C × C → R is said to be relaxed ξ -monotone if there exists a function ξ : ... See full document

... the iterative method ...new general iterative methods in a reflexive Banach space E which admits a weakly continuous duality mapping J ϕ with gauge ... See full document

... Our purpose in the present paper is to obtain an analogous result for a finite family of relatively nonexpansive mappings in Banach spaces. This notion was originally intro- duced by Butnariu et al. ... See full document

... onto C is not generally nonexpansive. Our purpose in the present paper is to obtain an analogous result for a finite family of relatively nonexpansive mappings in Banach spaces. This notion ... See full document

... two modified Mann iterations for nonexpansive semigroups {T(t) : 0 ≤ t < ∞ } and obtained the strong convergence theorems in a reflexive Banach space E which admits a weakly sequentially ... See full document