[PDF] Top 20 Strong Convergence Theorems for Lipschitzian Demicontraction Semigroups in Banach Spaces

... real Banach space; let C be a nonempty closed convex subset of E, and let T : {Tt : t ≥ 0} : C → C be a Lipschitzian and demicontractive semigroup with a bounded measurable function L : 0, ∞ → 0, ∞ and a ... See full document

... show strong convergence theorems of the modified Mann iteration scheme for λ-strict pseudocontractions with respect to p in p-uniformly convex Banach spaces with uniformly G ateaux ... See full document

... The aim of this paper is to give some strong convergence theorems for uniformly L-Lipschitzian and asymptotically pseudo contractive mappings in Banach spaces. Our results not ... See full document

... 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 implicit-shrinking ... See full document

... gave strong convergence theorems for a uniformly continu- ous mapping which is asymptotically nonexpansive in the intermediate sense in uniformly convex Banach spaces if the mapping is ... See full document

... We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the ... See full document

... The purpose of this paper is to introduce the concepts of total asymptotically strictly pseudocontractive semigroup, asymptotically strictly pseudocontractive semigroup etc., and to prove some strong ... See full document

... Let E be a real Banach space, K a nonempty closed convex subset of E, and T : K → K a mapping. We use FT to denote the set of fixed points of T , that is, FT {x ∈ K : Tx x}. T is called nonexpansive if Tx − Ty ≤ x ... See full document

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

... The concept of W -mapping was first introduced by Atsushiba and Takahashi [] in  and ever since has been extensively investigated for a finite family of map- pings (see [] and the references therein). Now, we are ... See full document

... weak convergence theorem for the nonexpansive semigroup in a uniformly con- vex Banach space which satisfies Opial’s ...the strong conver- gence of the implicit iterative ... See full document

... It is a natural problem whether or not there exists an iteration to find a common fixed point for infinite families of commuting nonexpansive mappings without assuming the strict convexity of the Banach space. ... See full document

... Let E be a real Banach space. A mapping T of E into itself is said to be nonexpansive if Tx − Ty ≤ x − y for each x, y ∈ E. We denote by FixT the set of fixed points of T. A mapping f : E → E is called ... See full document

... a Lipschitzian semigroup on C if T (s) be a Lipschitzian mapping of C into C with Lipschitz constant l(s) for each s ∈ S, T (st) = T (s)T (t) for each t, s ∈ S and T (e) = ...A Lipschitzian semigroup ... See full document

... As we all know that if C is a nonempty closed convex subset of a Hilbert space H and P C : H → C is the metric projection of H onto C, then P C is nonexpansive. This fact actually characterizes Hilbert spaces and ... See full document

... established strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in a Banach ...of semigroups have ... See full document

... the convergence of iterative algo- rithms for quasi-φ-asymptotically nonexpansive (see [–]) and total quasi-φ-asymptoti- cally nonexpansive (see [–]) ...obtain strong convergence ... See full document

... studied strong asymptotic behavior of almost-orbits of both of nonexpansive and asymptotically nonexpansive ...ergodic theorems for general semigroups of non- expansive ...a strong ergodic ... See full document

... Inspired by the implicit iteration introduced by Xu and Ori 5 for a finite family of nonexpansive mappings in a Hilbert space, Osilike 6, Chen et al. 7, Zhou 8 and Boonchari and Saejung 9 proposed and studied ... See full document

... reversible semigroups of asymp- totically nonexpansive ...and convergence of fixed points for left amenable semigroups of asymptotically nonexpansive type mappings in Banach ...amenable ... See full document