Approximations and Metric Regularity in Mathematical Programming in Banach Space

A. Jourani
A. Jourani
Laboratoire d'Analyse Numérique, Université de Bourgogne, B.P. 138, 21004 Dijon, France
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,
L. Thibault
L. Thibault
Laboratoire de Mathématiques Appliquées Ura 1204-CNRS, Université de Pau, Avenue de l'Université, 64000 Pau, France
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A. Jourani

Laboratoire d'Analyse Numérique, Université de Bourgogne, B.P. 138, 21004 Dijon, France

Search for more papers by this author

L. Thibault

Laboratoire de Mathématiques Appliquées Ura 1204-CNRS, Université de Pau, Avenue de l'Université, 64000 Pau, France

Search for more papers by this author

Published Online:1 May 1993https://doi.org/10.1287/moor.18.2.390

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.

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cover image Mathematics of Operations Research

Volume 18, Issue 2

May 1993

Pages 255-510

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Published Online:May 01, 1993

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A. Jourani, L. Thibault, (1993) Approximations and Metric Regularity in Mathematical Programming in Banach Space. Mathematics of Operations Research 18(2):390-401.

https://doi.org/10.1287/moor.18.2.390

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Approximations and Metric Regularity in Mathematical Programming in Banach Space

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