Quasiconvex Minimization on a Locally Finite Union of Convex Sets

D. Aussel () and J. J. Ye
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D. Aussel: Université de Perpignan
J. J. Ye: University of Victoria

Journal of Optimization Theory and Applications, 2008, vol. 139, issue 1, No 1, 16 pages

Abstract: Abstract Extending the approach initiated in Aussel and Hadjisavvas (SIAM J. Optim. 16:358–367, 2005) and Aussel and Ye (Optimization 55:433–457, 2006), we obtain the existence of a local minimizer of a quasiconvex function on the locally finite union of closed convex subsets of a Banach space. We apply the existence result to some difficult nonconvex optimization problems such as the disjunctive programming problem and the bilevel programming problem.

Keywords: Quasiconvex programming; Existence results; Nonconvex constraint set (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-008-9431-1

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