In this paper, we introduce a new iterative method of a k-strictly pseudo-contractive mapping for some 0 β€ 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
Strong convergence of an iterative method for pseudo-contractive and monotone mappings
β Scribed by Habtu Zegeye, Naseer Shahzad
- Book ID
- 115439818
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 181 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0925-5001
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π SIMILAR VOLUMES
## Abstract Let __E__ be a real reflexive Banach space having a weakly continuous duality mapping __J__~__Ο__~ with a gauge function __Ο__, and let __K__ be a nonempty closed convex subset of __E__. Suppose that __T__ is a nonβexpansive mapping from __K__ into itself such that __F__ (__T__) β β οΈ.
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 impr
The purpose of this paper is to study the convergence problem of an iterative method for nonexpansive mappings in Banach spaces under some new control conditions on parameters.