[PDF] Top 20 A New Composite General Iterative Scheme for Nonexpansive Semigroups in Banach Spaces

... In the last ten years, the iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 3–5. Let H be a real Hilbert space, whose inner ... See full document

... Theorem . Let (X, · ) be a Banach space and C ⊂ X be nonempty and bounded. Let F = {T (t); t ≥ } be a one-parameter semigroup of uniformly continuous mappings from C into C . Assume that F is strongly ... See full document

... 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 which satisfies Opial’s ... See full document

... der-type iterative processes (Halpern-type iterative processes); see [14] for more ...viscosity iterative scheme for the generalized contraction f and a nonexpansive semigroup {T(t) : t ... See full document

... modified general iterative methods for finding a common fixed point of asymptotically nonexpansive semigroups, which is a unique solution of some variational ...such iterative ... See full document

... real Banach space. A mapping T of E into itself is said to be nonexpansive if Tx − Ty ≤ x − y for each x, y ∈ ...a nonexpansive semigroup on E if it satisfies the following ... See full document

... convex Banach space which admits a weakly con- tinuous duality mapping J with gauge such that is invariant on [0, ...a nonexpansive semigroup from C into itself such that F(S) = ... 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

... given nonexpansive mapping in a Hilbert space was proposed by Moudafi 15 see 16 for finding hierarchically a fixed ...the iterative scheme 1.1 to a Banach space setting using the following ... See full document

... the iterative scheme (1.1) to the iterative scheme of asymp- totically quasi-nonexpansive mappings with error ...of iterative scheme to a fixed point of T (C need not to ... See full document

... [13] B. E. Rhoades and S. M. Soltuz, “The Equivalence be- tween the Convergences of Ishikawa and Mann Iterations for Asymptotically Nonexpansive Maps in the Intermedi- ate Sense and Strongly Successively ... See full document

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

... Harder and Hicks [] mentioned that the study of the stability of iterative schemes is useful for both theoretical and numerical investigations. Consequently, several authors have studied the stability of ... 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

... a new and interesting monotone hybrid iterative method for a convex feasibility problem for a family of generalized nonexpansive maps in a Banach space more general than Hilbert ... See full document

... In this paper, we define and study the convergence theorems of a new two-steps iterative scheme for two total asymptotically nonexpansive nonself-mappings in Banach spaces. The ... See full document

... The purpose of this paper is to study the weak and strong convergence of implicit iter- ation process with errors to a common fixed point for a finite family of nonexpansive mappings in Banach ... See full document

... for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical ...the new iterative method introduced by Takahashi et ...a nonexpansive semigroup {T t : t ≥ ... 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 ... See full document

... three-step iterative process and studied the approximate solutions of variational inclusion in Hilbert ...three-step iterative process to approximate fixed points of asymptotically nonexpansive ... See full document