On Set Containment Characterization and Constraint Qualification for Quasiconvex Programming

Satoshi Suzuki () and Daishi Kuroiwa ()
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Satoshi Suzuki: Shimane University
Daishi Kuroiwa: Shimane University

Journal of Optimization Theory and Applications, 2011, vol. 149, issue 3, No 7, 554-563

Abstract: Abstract Dual characterizations of the containment of a convex set with quasiconvex inequality constraints are investigated. A new Lagrange-type duality and a new closed cone constraint qualification are described, and it is shown that this constraint qualification is the weakest constraint qualification for the duality.

Keywords: Set containment; Quasiconvex constraints; Quasiaffine functions; Constraint qualification (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-011-9804-8

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