Some generalized vector variational inequalities and complementarity problems for multivalued mappings
โ Scribed by Nan-Jing Huang; Cheng-Jia Gao
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 587 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
In this paper, we introduce and study a new class of generalized vector variational inequalities and complementarity problems for multivalued mappings. We prove the existence of solutions for this kind of vector variational inequality and discuss the relations between the solutions of the generalized vector variational inequalities and the solutions of generalized vector complementarity problems in Hausdorff topological vector spaces. Our results extend and improve some results in this field.
๐ SIMILAR VOLUMES
In this work, we establish some existence theorems for solutions to a new class of generalized vector F-implicit complementarity problems and the corresponding generalized vector F-implicit variational inequality problems in topological vector spaces. No monotonicity or continuity assumption is impo