Contribuições na teoria de otimização para alguns problemas de programação infinita e de programação com tempo continuo / Contributions in the optimization theory for some infinite programming problems and continuous time programming problems

AUTOR(ES)
DATA DE PUBLICAÇÃO

2007

RESUMO

In this thesis work it is regarded two type of abstract optimization problems. The _rst one corresponds to the in_nite programming problem. A such problem consists in minimizing a functional subject to an in_nite number of constraints, where the functions involved are dened in a Banach space. The second one is the continuous time programming problem, which consists in to minimize a functional, given in the integral form, subject to a _nite number of inequalities constraints. It were studied the mono and multi-objective problems. The established results furnish optimality conditions for these problems. Su_cient conditions were obtained using the notion of invexity and also a relaxation of invexity, the KT-invexity. Under constraint quali_cations assumptions, KT-invexity becomes also a necessary optimality condition. Some results about duality are also presented

ASSUNTO(S)

programação não-linear otimização matematica analise funcional não-linear non-linear programming non-linear functional analysis mathematical optimization

ACESSO AO ARTIGO

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