On Stable Feasible Sets in Generalized Semi-infinite Programming

H Gunzel; HT Jongen; Jan-Joachim Ruckmann

doi:10.1137/070694259

On Stable Feasible Sets in Generalized Semi-infinite Programming

H Gunzel
, HT Jongen
, Jan-Joachim Ruckmann

Mathematics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

We consider the feasible set of a generalized semi-infinite programming problem with a one-dimensional index set of inequality constraints depending on the state variable. The latter dependence on the state variable gives rise to a complicated structure of the feasible set. Under appropriate transversality conditions we partially present the local description of feasible sets in new coordinates by means of the finitely many basic functions.

Original language	English
Pages (from-to)	644-654
Number of pages	11
Journal	SIAM Journal on Optimization
Volume	19
Issue number	2
DOIs	https://doi.org/10.1137/070694259
Publication status	Published - 1 Jan 2008

Keywords

feasible set
transversal zero-point
transversality
normal form
generalized semi-infinite programming

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10.1137/070694259

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abstract = "We consider the feasible set of a generalized semi-infinite programming problem with a one-dimensional index set of inequality constraints depending on the state variable. The latter dependence on the state variable gives rise to a complicated structure of the feasible set. Under appropriate transversality conditions we partially present the local description of feasible sets in new coordinates by means of the finitely many basic functions.",

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AB - We consider the feasible set of a generalized semi-infinite programming problem with a one-dimensional index set of inequality constraints depending on the state variable. The latter dependence on the state variable gives rise to a complicated structure of the feasible set. Under appropriate transversality conditions we partially present the local description of feasible sets in new coordinates by means of the finitely many basic functions.

KW - feasible set

KW - transversal zero-point

KW - transversality

KW - normal form

KW - generalized semi-infinite programming

U2 - 10.1137/070694259

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JO - SIAM Journal on Optimization

JF - SIAM Journal on Optimization

IS - 2

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On Stable Feasible Sets in Generalized Semi-infinite Programming

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Keywords

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