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

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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).

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
URI https://vuir.vu.edu.au/id/eprint/17816
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords minimization, quasiconvexity, normal cone, subdifferential
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