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Strong convergence of the modified Mann iterative method for strict pseudo-contractions

✍ Scribed by Giuseppe Marino; Vittorio Colao; Xiaolong Qin; Shin Min Kang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
627 KB
Volume
57
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we introduce a modified Mann iterative process for approximating a common fixed point of a finite family of strict pseudo-contractions in Hilbert spaces. We establish the strong convergence theorem of the general iteration scheme under some mild conditions. Our results extend and improve the recent ones announced by many others.

πŸ“œ SIMILAR VOLUMES

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Strong convergence theorems for a new iterative method of -strictly pseudo-contractive mappings in Hilbert spaces
✍ Issara Inchan πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 734 KB

In this paper, we introduce a new iterative method of a k-strictly pseudo-contractive mapping for some 0 ≀ 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 improve