Some generalized vector variational inequalities and complementarity problems for multivalued mappings
| Autor: | Nan-Jing Huang, Cheng-Jia Gao |
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| Rok vydání: | 2003 |
| Předmět: |
Pure mathematics
Multivalued function Applied Mathematics Mathematical analysis Hausdorff space Generalized vector complementarity problem Topological space Topological vector space Convexity KKM mapping Complementarity theory Variational inequality Multivalued mapping Mixed complementarity problem Generalized vector variational inequality Mathematics Vector space |
| Zdroj: | Applied Mathematics Letters. 16(7):1003-1010 |
| ISSN: | 0893-9659 |
| DOI: | 10.1016/s0893-9659(03)90087-5 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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