Some generalized vector variational inequalities and complementarity problems for multivalued mappings
نویسندگان
چکیده
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. @ 2003 Elsevier Ltd. All rights reserved. Keywords-Generalized vector variational inequality, KKM mapping, Convexity, Multivalued mapping, Generalized vector complementarity problem.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 16 شماره
صفحات -
تاریخ انتشار 2003