๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Strong convergence theorems for a new iterative method of -strictly pseudo-contractive mappings in Hilbert spaces

โœ Scribed by Issara Inchan

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
734 KB
Volume
58
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we introduce a new iterative method of a k-strictly pseudo-contractive mapping for some 0 โ‰ค k < 1 and prove that the sequence {x n } converges strongly to a fixed point of T , which solves a variational inequality related to the linear operator A. Our results have extended and improved the corresponding results of Y.

๐Ÿ“œ SIMILAR VOLUMES

A general iterative method for obtaining
A general iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces
โœ Shuang Wang ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 230 KB

In this work, we consider a general composite iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces. It is proved that the sequence generated by the iterative scheme converges strongly to a common point of the set of fixed points, which solves th

Convergence of a general iterative metho
Convergence of a general iterative method for nonexpansive mappings in Hilbert spaces
โœ Yeol Je Cho; Xiaolong Qin ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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