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Optimality conditions for nonlinear infinite programming problems |
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| Authors: | |
| Institution: | 1.Instituto de Biociências, Letras e Ciências Exatas,UNESP - Univ. Estadual Paulista,S?o José do Rio Preto,Brazil;2.Departamento de Matemática,Universidade Federal do Paraná, Setor de Ciências Exatas, Centro Politécnico,Curitiba,Brazil;3.Departamento de Estadística e Investigación Operativa, Facultad de Matemáticas,Universidad de Sevilla,Sevilla,Spain;4.GMA, Departamento de Ciencias Básicas, Facultad de Ciencias,Universidad del Bío-Bío,Chillán,Chile |
| Abstract: | An infinite programming problem consists in minimizing a functional defined on a real Banach space under an infinite number of constraints. The main purpose of this article is to provide sufficient conditions of optimality under generalized convexity assumptions. Such conditions are necessarily satisfied when the problem possesses the property that every stationary point is a global minimizer. |
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