Vector Variational Inequalities Involving Vector Maximal Points

M.H. Kim, S.H. Kum and G.M. Lee
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M.H. Kim: Pukyong National University
S.H. Kum: Chungbuk National University
G.M. Lee: Pukyong National University

Journal of Optimization Theory and Applications, 2002, vol. 114, issue 3, No 5, 593-607

Abstract: Abstract This paper considers the existence of solutions and the equivalence of four kinds of vector variational inequalities (VVI). More precisely, a sufficient condition is provided under which the solution sets of these VVIs are nonempty and equal. An example is given, showing that such a sufficient condition is essential to ensure the results. Actually, the main theorems in this paper can be regarded as a suitable correction and a refinement of recent results due to Chang et al. (Ref. 1).

Keywords: vector variational inequalities; vector maximal points; set convergence (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1016075029509

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