[PDF] Top 20 Strong and weak convergence of an implicit iterative process for pseudocontractive semigroups in Banach space

... real Banach space with norm ||·||, E* is the dual space of E; 〈·, ·〉 is the duality pairing between E and E*; C is a nonempty closed convex subset of E; N denotes the natural number set; ℜ + is the ... See full document

... an implicit iterative process for a nonexpansive semigroup and then we prove a weak convergence theorem for the nonexpansive semigroup in a uniformly con- vex Banach space ... See full document

... asymptotically pseudocontractive mappings in Hilbert spaces and established a weak convergence theorem of fixed ...asymptotically pseudocontractive mappings in a Banach ... See full document

... an implicit predictor-corrector iteration process for finitely many asymptoti- cally quasi-nonexpansive self-mappings on a nonempty closed convex subset of a Banach space ...the strong ... See full document

... obtain strong convergence to fixed points of pseudocontractive maps without the compactness type assumptions, many authors (see ...the Banach space, whose computations are ... See full document

... prove strong convergence results for a modified Mann iterative process for a new class of I- nearly weak uniformly L− Lipschitzian mappings in a real Banach ...nearly weak ... See full document

... Hilbert space, the normal Mann iteration algorithm has only weak convergence; see [] for more ...problems, strong convergence is often much more desirable than weak ... See full document

... proved strong convergence theorem by the Mann iterative process to a fixed point of strictly pseudocontractive mapping defined on a nonempty compact convex subset of a Hilbert ...proved ... See full document

... proved strong convergence result of Mann iteration for I-nonexpansive ...weakly convergence result for asymptotically I-nonexpansive mapping in Hilbert ...[8] weak and strong ... See full document

... consider weak convergence theorems of implicit iterative pro- cesses for two nonexpansive mappings and a mapping which satisfy condition ...consider strong conver- gence theorem of an ... See full document

... and strong convergence of asymptotically pseudocontractive mappings by using a new composite implicit iteration process in an arbitrary real Banach ... See full document

... a Banach space E admits a sequentially continuous duality mapping J from weak topology to weak star topology, then from Lemma 1 of 18, it follows that the duality mapping J is single-valued ... See full document

... the iterative construction for fixed points of nonexpansive mappings on closed and convex subsets of a Hilbert ...the iterative processes for the approximation of fixed points of nonexpansive mappings and ... 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 ...iteration process in ... See full document

... the implicit iteration process (.) and to prove some strong and weak convergence theorems for a continuous pseudocontractive map- ping and a weak convergence ... See full document

... Theorem . [, Theorem .] Let E be a real q-uniformly smooth Banach space which is also uniformly convex. Let C be a nonempty closed convex subset of E and T : C → C be a k-strictly asymptotically ... See full document

... In this paper we prove the strong convergence of a new iteration scheme to a common fixed point of a finite family of Lipschitz strongly pseudocontractive mappings in a real Banach spac[r] ... See full document

... real Banach space, C a nonempty closed convex subset of a Banach space X and let P : X → C be the nonexpansive retraction of X onto C, T : C → X a given ... See full document

... following strong convergence of a Halpern-type [] iterative process for a common fixed point of a finite family of Lipschitz pseudocontractive mappings under the assumption that the ... See full document

... projection onto C. Notice that if E is a Hilbert space and S = T, then the sequences (1.4) and (1.5) are equivalent. We prove that if F(T) is nonempty and the duality mapping J is weakly sequentially continuous, ... See full document