Vector Variational Inequalities Involving Vector Maximal Points |
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| Authors: | Kim MH Kum SH Lee GM |
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| Institution: | (1) Department of Applied Mathematics, Pukyong National University, Pusan, Korea;(2) Department of Mathematics Education, Chungbuk National University, Cheongju, Korea;(3) Department of Applied Mathematics, Pukyong National University, Pusan, Korea |
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| 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). |
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| Keywords: | vector variational inequalities vector maximal points set convergence |
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