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Unrestricted iterations of nonexpansive mappings in Hilbert space

โœ Scribed by John M. Dye; Simeon Reich

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
720 KB
Volume
18
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

A general iterative algorithm for nonexp
A general iterative algorithm for nonexpansive mappings in Hilbert spaces
โœ Ming Tian ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 < ฮฑ < 1, and 2 )/ฮฑ = ฯ„ /ฮฑ. We proved that the sequence {x n } generated by the iterative method )Tx n converges strongly to a fixed point x โˆˆ F ix (T ), which

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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