Optimality conditions for nonlinear infinite programming problems

Valeriano A. de Oliveira; Lucelina B. dos Santos; Rafaela Osuna-Gómez; Marko A. Rojas-Medar

doi:10.1007/s11590-014-0808-9

Optimality conditions for nonlinear infinite programming problems

Valeriano A. de Oliveira
, Lucelina B. dos Santos
, Rafaela Osuna-Gómez
, Marko A. Rojas-Medar

Universidade Estadual Paulista Júlio de Mesquita Filho
Universidade Federal do Paraná
University of Seville
Universidad del Bío-Bío

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	1131-1147
Number of pages	17
Journal	Optimization Letters
Volume	9
Issue number	6
DOIs	https://doi.org/10.1007/s11590-014-0808-9
State	Published - 29 Aug 2015
Externally published	Yes

Keywords

Generalized convexity
Infinite programming
Nonlinear programming
Sufficient conditions

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10.1007/s11590-014-0808-9

Cite this

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title = "Optimality conditions for nonlinear infinite programming problems",

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.",

keywords = "Generalized convexity, Infinite programming, Nonlinear programming, Sufficient conditions",

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AU - dos Santos, Lucelina B.

AU - Osuna-Gómez, Rafaela

AU - Rojas-Medar, Marko A.

PY - 2015/8/29

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N2 - 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.

AB - 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.

KW - Generalized convexity

KW - Infinite programming

KW - Nonlinear programming

KW - Sufficient conditions

UR - https://www.scopus.com/pages/publications/84938294219

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Optimality conditions for nonlinear infinite programming problems

Abstract

Keywords

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