In this paper, we establish the equivalence between the generalized set-valued variational inclusions, the resolvent equations, and the fixed-point problem, using the resolvent operator technique. This equivalence is used to suggest and analyze some iterative algorithms for solving the generalized s
Generalized set-valued variational inclusions and resolvent equations in Banach spaces
โ Scribed by Jae Ug Jeong
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 373 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
In this paper, we construct a new iterative algorithm for set-valued variational inclusions without the compactness condition and study the convergence of the perturbed Ishikawa iterative process for solving a class of the generalized single-valued variational inclusions in Banaeh spaces. The result obtained in this paper is a generalization and improvement of Noor's theorem [1].
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