Existence of Solutions to Implicit Vector Variational Inequalities

Y. Chiang, O. Chadli and J.C. Yao
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Y. Chiang: National Sun Yat-Sen University
O. Chadli: University Ibn Zohr
J.C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2003, vol. 116, issue 2, No 1, 264 pages

Abstract: Abstract In this paper, we study a class of implicit vector variational inequalities which contain implicit variational inequalities and generalized quasivariational inequalities as special cases. By employing the Fan–Kakutani fixed-point theorem and the Oettli scalarization procedure, respectively, we establish several existence results for implicit vector variational inequalities.

Keywords: Implicit vector variational inequalities; upper semicontinuity; lower semicontinuity; C-upper semicontinuity; C-convexity (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1022472103162

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