[PDF] Top 20 The modified general iterative methods for nonexpansive semigroups in banach spaces†

... 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

... new general composite iterative scheme for finding a common fixed point of nonexpansive semigroups in the framework of Banach spaces which admit a weakly continuous duality ... See full document

... We denote by F( ᏿ ) the set of common fixed points of ᏿ , that is, t ∈ S F(T (t)). Let ᏿ = { T (t) : t ∈ S } be a nonexpansive semigroup on C such that for each x ∈ C, { T (t)x : t ∈ S } is contained in a weakly ... See full document

... Nonexpansive mappings are those maps which have Lipschitz constant equal to . The fixed point theory for such mappings is rich and varied. It finds many applications in non- linear functional analysis. The ... 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

... Let C be a nonempty closed and convex subset of E. Throughout this paper, S will always denote a semigroup with an identity e. S is called left reversible if any two right ideals in S have nonvoid intersection, that is, ... See full document

... hand, iterative approximation methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 9–11 and the references ... See full document

... said to uniformly convex if, for any ∈ (, ], there exists δ >  such that, for any x, y ∈ U, x – y ≥ implies x+y  ≤  – δ. It is known that a uniformly convex Banach space is reflexive and strictly convex ... See full document

... of iterative algorithms for nonexpansive mappings, nonexpansive semigroup, and pseudocontractive semigroup in Banach spaces see, ...a nonexpansive mapping, and A be a strongly ... 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

... the general iterative method ...expansive semigroups and equilibrium ...of nonexpansive mappings, Shehu [] proposed an iterative method for nonexpansive semi- groups, ... See full document

... new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive ...reflexive Banach spaces which admit a weakly continuous ... 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

... in Banach spaces or Hilbert spaces) of this well-known result to a metric space has its own ...above iterative methods (.)-(.) involve general convex ...Hilbert spaces ... See full document

... In this paper, motivated by the iterative sequences 1.6 given by Saejung in 8 and Ishikawa 10, we introduce the modified Ishikawa iterative scheme for two nonexpansive semigroups in ... See full document

... of nonexpansive mappings enjoys the fixed point property and even the approximate fixed point property in the general setting of metric ...for nonexpansive mappings to the class of asymptotically ... See full document

... a Banach space and Shioji and Takahashi [19] im- proved Wittmann’s result to a certain Banach ...above iterative scheme with the necessary conditions on the parameters and some additional conditions ... See full document

... limit is a solution of certain variational inequality. Next, we study the viscosity approximation with the weakly contractive mapping to a fixed point of nonexpansive mapping in the same Banach space. The ... See full document

... quasi-ϕ-asymptotically nonexpansive semi-groups and to modify the Halpern and Mann-type iteration algo- rithm [14,15] for quasi-ϕ-asymptotically nonexpansive semi-groups and to have the strong convergence ... See full document

... Alber and Guerre-Delabriere 1 defined the weakly contractive maps in Hilbert spaces, and Rhoades 2 showed that the result of 1 is also valid in the complete metric spaces as follows. Definition 1.1. Let X, ... See full document