[PDF] Top 20 Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces

... Hilbert spaces has been extensively studied in the literature; see, for instance, ...Hilbert spaces fails to be true in Banach ...for accretive operators in Banach ... See full document

... Halpern-type iterative scheme to approximate common fixed points of an infinite family of quasi-nonexpansive mappings and obtain a strongly convergent iterative sequence to the common fixed points of ... See full document

... finite family of accretive operators in a reflexive Banach ...in accretive operators stems mainly from their firm connection with equations of evolution is an important class of ... See full document

... the general nonlinear random H, η-accretive equations with random fuzzy ...η-accretive operators, we prove the existence theorems and convergence theorems of the generalized random ... See full document

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

... convex Banach space with the Fr´echet differentiable norm ...iteration algorithm has only weak convergence, in general, even for nonexpansive ...have strong convergence for ... See full document

... nonlinear operators, for instance, image recovery, inverse problems, transportation problems and optimization ...ear operators. In , Kirk [] introduced a parallel iterative process for finding a ... See full document

... of accretive operators recently have been extensively studied (see [–] and the references therein) because of their important applications in real ...point algorithm, which was proposed by ... See full document

... Shahzad, “Strong convergence theorems for a common zero for a finite family of m - accretive mappings,” Nonlinear Analysis: Theory, Methods & Applications, vol. Kang, “Zeros and mapp[r] ... See full document

... weakly to a unique element z of S(C, A), where S(C, A) = {u ∈ C : Au, j(v–u) ≥ , ∀v ∈ C}. The results of Yao et al. [] and Wang and Hu [] both are obtained when the underlying space is a Hilbert space. Meanwhile, ... See full document

... and iterative construction of fixed points for pseudocontractions and of zeros for monotone mappings see, ...of convergence even if for strong pseudocontractions in setting of Hilbert ...of ... See full document

... Using Theorem 3.1, Lemma 2.1, and Example 2.2, we have the following result. Corollary 3.4. Let E be a uniformly convex Banach space which admits a weakly sequentially continuous duality mapping J . Let S {T t : 0 ... See full document

... Let C be a nonempty, closed and convex subset of a real Banach space E. Let T : C → C be a nonlinear mapping. The fixed point set of T is denoted by F(T), that is, F(T ) = {x ∈ C : x = Tx } . Recall that a mapping ... See full document

... new general iterative algorithm for an infinite family of nonexpansive operators in Hilbert ...the iterative algorithm converges strongly to a common point of the sets of ... See full document

... some convergence results for the algorithm ...a finite family of uniformly L-Lipschitzian and generalized asymptotically quasi-nonexpansive selfmaps in the general class of CAT0 ... See full document

... smooth Banach space E , let S be a com- mutative semigroup with identity, let ᏿ = { T (s) : s ∈ S } be a nonexpansive semigroup on C, and let F(᏿) be the set of common fixed points of ... See full document

... “Strong Convergence of an Implicit Iteration Process for a Finite Family of Asymptotically Quasi- nonexpansive Mappings,” Journal of Mathematical Analysis and Applications, ... See full document

... real Banach space, let T, V ,Z : E → Ᏺ(E) be three closed fuzzy mappings satisfying condition ( ∗ ) with functions a,b,c : E → [0, 1], respectively, let N( · , · ) : E × E → E be a single-valued continuous ... See full document

... Main Results In this section, we prove weak and strong convergence theorems of the iterative scheme 1.1 for a finite family of nonexpansive mappings in a uniformly convex Banach space.. [r] ... See full document

... [9,11 ] and it plays an important role in the theory of accretive operators and dissipative operators, differential equations, linear and nonlinear semigroups in Banach spaces and Banach[r] ... See full document