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A Necessary Optimality Condition for Quasiconvex Functions on Convex Sets Defined by Inequality Constraints

Jabri, Youssef and Jaddar, Abdessamad (2003) A Necessary Optimality Condition for Quasiconvex Functions on Convex Sets Defined by Inequality Constraints. RGMIA research report collection, 6 (2).

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Abstract

We give a necessary optimality condition for the minima of quasiconvex functions on closed convex sets using subdifferentials and normal cones. We consider both the case of a general convex set and a convex set defined as a constrained set for a quasiconvex l.s.c. function.

Item Type: Article
Uncontrolled Keywords: minimization, quasiconvexity, normal cone, subdifferential
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 29 Aug 2012 03:45
Last Modified: 23 May 2013 16:52
URI: http://vuir.vu.edu.au/id/eprint/17816
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