Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints

Optimality conditions for pseudoconvex minimization over convex sets defined by tangentially convex constraints

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Article ID: iaor201526251
Volume: 9
Issue: 5
Start Page Number: 1017
End Page Number: 1023
Publication Date: Jun 2015
Journal: Optimization Letters
Authors:
Keywords: programming: convex
Abstract:

We present necessary and sufficient optimality conditions for the minimization of pseudoconvex functions over convex sets defined by non necessarily convex functions, in terms of tangential subdifferentials. Our main result unifies a recent KKT type theorem obtained by Lasserre for differentiable functions with a nonsmooth version due to Dutta and Lalitha.

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