𝔖 Bobbio Scriptorium
✦   LIBER   ✦

General iterative methods for a one-parameter nonexpansive semigroup in Hilbert space

✍ Scribed by Suhong Li; Lihua Li; Yongfu Su

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
479 KB
Volume
70
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Convergence of a general iterative metho
Convergence of a general iterative method for nonexpansive mappings in Hilbert spaces
✍ Yeol Je Cho; Xiaolong Qin πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 481 KB

In this paper, we introduce a modified Ishikawa iterative process for approximating a fixed point of nonexpansive mappings in Hilbert spaces. We establish some strong convergence theorems of the general iteration scheme under some mild conditions. The results improve and extend the corresponding res

A general iterative algorithm for nonexp
A general iterative algorithm for nonexpansive mappings in Hilbert spaces
✍ Ming Tian πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 250 KB

Let H be a real Hilbert space. Suppose that T is a nonexpansive mapping on H with a fixed point, f is a contraction on H with coefficient 0 < Ξ± < 1, and 2 )/Ξ± = Ο„ /Ξ±. We proved that the sequence {x n } generated by the iterative method )Tx n converges strongly to a fixed point x ∈ F ix (T ), which

Strong convergence theorem for a general
Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space
✍ Satoru Takahashi; Wataru Takahashi πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 228 KB

We introduce an iterative method for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space and then obtain that the sequence converges strongly to a common element of two sets. Using this result,