Duality Results for Generalized Vector Variational Inequalities with Set-Valued Maps
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In this paper, we introduce new dual problems of generalized vector variational inequality problems with set-valued maps and we discuss a link between the solution sets of the primal and dual problems. The notion of solutions in each of these problems is introduced via the concepts of efficiency, weak efficiency or Benson proper efficiency in vector optimization. We provide also examples showing that some earlier duality results for vector variational inequality may not be true.
KeywordsVector variational inequalities Set-valued maps Duality Conjugate maps Biconjugate maps
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