Vector continuous-time programming without differentiability

Authors:
Valeriano Antunes de Oliveira
Affiliations:
Faculdade de Ciências Integradas do Pontal, Universidade Federal de Uberlíndia, Av. José João Dib, 2545, Progresso, CEP 38302-000, Ituiutaba-MG, Brazil
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 1
Cited 1

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Optimality conditions in a vector continuous-time optimization problem

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Abstract

In this work continuous-time programming problems of vector optimization are considered. Firstly, a nonconvex generalized Gordan's transposition theorem is obtained. Then, the relationship with the associated weighting scalar problem is studied and saddle point optimality results are established. A scalar dual problem is introduced and duality theorems are given. No differentiability assumption is imposed.