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On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces

✍ Scribed by Naseer Shahzad; Habtu Zegeye


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
489 KB
Volume
71
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Mann and Ishikawa iterative processes fo
✍ Bancha Panyanak πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 193 KB

Let K be a nonempty compact convex subset of a uniformly convex Banach space, and T : K β†’ P(K ) a multivalued nonexpansive mapping. We prove that the sequences of Mann and Ishikawa iterates converge to a fixed point of T . This generalizes former results proved by Sastry and Babu [K.P.R. Sastry, G.V

Erratum to β€œMann and Ishikawa iterative
✍ Yisheng Song; Hongjun Wang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 160 KB

We show strong convergence for Mann and Ishikawa iterates of multivalued nonexpansive mapping T under some appropriate conditions, which revises a gap in Panyanak [B. Panyanak, Mann and Ishikawa iterative processes for multivalued mappings in

Strong convergence of the modified Ishik
✍ Phayap Katchang; Poom Kumam πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 650 KB

In this paper, we introduce a new modified Ishikawa iterative process for computing fixed points of an infinite family nonexpansive mapping in the framework of Banach spaces. Then, we establish the strong convergence theorem of the proposed iterative scheme under some mild conditions which solves a

Ishikawa iterative processes with mixed
✍ Dingping Wu; Shi-Sen Chang; George Yuan πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 117 KB

The purpose of this paper is to study the convergence of the Ishikawa and Mann iterative sequences with mixed errors to approximate the solutions of nonlinear operator equations with perturbed maccretive mappings in arbitrary Banach spaces. The results presented in this paper extend and improve some

On the implicit iterative process for st
✍ Ioannis K. Argyros; Yeol Je Cho; Xiaolong Qin πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 515 KB

In this paper, we consider a composite implicit iterative process for an infinite family of strictly pseudo-contractive mappings. Strong convergence theorems are established in an arbitrary real Banach space. The results presented in this paper improve and extend the recent ones announced by many ot