Convergence of an Iterative Method for Variational Deconvolution and Impulsive Noise Removal
β Scribed by Bar, Leah; Sochen, Nir; Kiryati, Nahum
- Book ID
- 118211728
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2007
- Tongue
- English
- Weight
- 231 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1540-3459
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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 consider the problem of convergence of an iterative algorithm for a system of generalized variational inequalities and a nonexpansive mapping. Strong convergence theorems are established in the framework of real Banach spaces.