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Necessary conditions and duality for inexact nonlinear semi-infinite programming problems

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  • Juan Gómez
  • Paul Bosch

Abstract

First order necessary conditions and duality results for general inexact nonlinear programming problems formulated in nonreflexive spaces are obtained. The Dubovitskii–Milyutin approach is the main tool used. Particular cases of linear and convex programs are also analyzed and some comments about a comparison of the obtained results with those existing in the literature are given. Copyright Springer-Verlag 2007

Suggested Citation

  • Juan Gómez & Paul Bosch, 2007. "Necessary conditions and duality for inexact nonlinear semi-infinite programming problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 65(1), pages 45-73, February.
    • Handle: RePEc:spr:mathme:v:65:y:2007:i:1:p:45-73
    DOI: 10.1007/s00186-006-0099-8
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    References listed on IDEAS

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    1. A. Ben-Tal & A. Nemirovski, 1998. "Robust Convex Optimization," Mathematics of Operations Research, INFORMS, vol. 23(4), pages 769-805, November.
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