descriptionPublicationkeyboard_double_arrow_right Article 01 May 1993 English Publisher:Institute for Operations Research and the Management Sciences (INFORMS)Journal:Mathematics of Operations Research, volume 18, pages 390-401 (issn: 0364-765X, eissn: 1526-5471,

Authors: L. Thibault; Abderrahim Jourani;

doi: 10.1287/moor.18.2.390

Approximations and Metric Regularity in Mathematical Programming in Banach Space

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Abstract

This paper establishes verifiable conditions ensuring the important notion of metric regularity for general nondifferentiable programming problems in Banach spaces. These conditions are used to obtain Lagrange-Kuhn-Tucker multipliers for minimization problems with infinitely many inequality and equality constraints.

Related Organizations

UNIVERSITE BOURGOGNE EUROPE
France
University of Burgundy
France
University of Pau and Pays de l'Adour
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Centre national de la recherche scientifique
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French National Centre for Scientific Research
France

Keywords

Programming in abstract spaces, Banach spaces, Nonlinear programming, Lagrange-Kuhn-Tucker multipliers, Nonsmooth analysis, nondifferentiable programming, metric regularity

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