In this paper, we obtain some existence theorems of the variational inequalities associated to the perturbed maximal monotone mapping and discuss several surjectivity results for perturbed maximal monotone mappings.
β¦ LIBER β¦
Some results about perturbed maximal monotone mappings
β Scribed by Y.Y. Zhou
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 509 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper, we consider a class of variational inequality problems for monotone type mappings. By using one coercive assumption which is weaker than the one used in [1], we establish some existence results of solutions to variational inequality problems with generalized pseudomonotone mappings, generalized pseudomonotone perturbation and T-pseudomonotone perturbation of maximal monotone mappings, respectively. (~) 2006 Elsevier Ltd. All rights reserved.
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