Abstract
In this paper, we consider the general vector variational inequality problem. The conception of new generalized monotone mappings is introduced. Existence theorems of the solution of this problem and topological properties of the solution set are presented. The results appear to be new even for the vector variational inequality considered by Chen in Ref.1 and the general variational inequality discussed by Isac in Ref.6. Meanwhile, implicit vector complementarity problems are proposed and the existence of the solution is studied.
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References
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© 2000 Kluwer Academic Publishers
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Yin, H., Xu, C. (2000). Vector Variational Inequality and Implicit Vector Complementarity Problems. In: Giannessi, F. (eds) Vector Variational Inequalities and Vector Equilibria. Nonconvex Optimization and Its Applications, vol 38. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0299-5_30
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DOI: https://doi.org/10.1007/978-1-4613-0299-5_30
Publisher Name: Springer, Boston, MA
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