Duality Results for Generalized Vector Variational Inequalities with Set-Valued Maps

P. H. Sach, D. S. Kim, L. A. Tuan and G. M. Lee ()
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P. H. Sach: Institute of Mathematics
D. S. Kim: Pukyong National University
L. A. Tuan: Ninh Thuan College of Pedagogy
G. M. Lee: Pukyong National University

Journal of Optimization Theory and Applications, 2008, vol. 136, issue 1, No 9, 105-123

Abstract: Abstract 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.

Keywords: Vector variational inequalities; Set-valued maps; Duality; Conjugate maps; Biconjugate maps (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-007-9342-6

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