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On strong convergence in real Banach spaces obtained by dropping the Lipshitz condition

✍ Scribed by Safeer Hussain Khan; Isa Yildirim

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
232 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

a b s t r a c t

We consider an implicit iterative process for two finite families of mappings in a real Banach space and prove strong convergence results without using the Lipschitz condition on mappings. Our results mainly improve and extend the recent results of Chang et al.

πŸ“œ SIMILAR VOLUMES

A necessary and sufficient condition for
A necessary and sufficient condition for the strong convergence of Lipschitzian pseudocontractive mapping in Banach spaces
✍ Yu-Chao Tang; Ji-Gen Peng; Liang-Gen Hu; Li-Wei Liu πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 207 KB

The purpose of this paper is to establish some necessary and sufficient conditions for the strong convergence of the Ishikawa iterative sequence and the Mann iterative sequence to a fixed point of pseudocontractive mapping in Banach spaces. Our results, to some extent, improve and extend the well-kn