Generalized K-T conditions and penalty functions for quasidifferentiable programming
type: Item
instance of: scholarly article
title: Generalized K-T conditions and penalty functions for quasidifferentiable programming
zbMATH Open document ID: 0946.49018
author: Hongyou Yin
author: Cheng-Xian Xu
published in: Applied Mathematics. Series B (English Edition)
publication date: 2000-10-30T00:00:00Z
review text: A quasidifferentiable optimization problem with inequality constraints is considered. Karush-Kuhn-Tucker necessary conditions for optimality are obtained, generalizing results of Luderer, Kuntz and Scholtes, by relaxing a regularity assumption, and with multipliers independent of elements of subdifferentials. Sufficient conditions for optimality are obtained with a preinvex hypothesis, in terms of a penalty function.
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 1286440
zbMATH Keywords: quasidifferentiable optimization
zbMATH Keywords: Karush-Kuhn-Tucker necessary conditions for optimality
zbMATH Keywords: subdifferentials
zbMATH Keywords: preinvex
zbMATH Keywords: penalty function
reviewed by: B. D. Craven
MaRDI profile type: Publication
full work available at URL: s11766-999-0058-2
OpenAlex ID: W2091332673
cites work: Directional derivative estimates for the optimal value function of a quasidifferentiable programming problem
cites work: Constraint qualifications in quasidifferentiable optimization
cites work: Optimization and nonsmooth analysis
cites work: Q3682265
DOI: 10.1007/S11766-999-0058-2
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description: scientific article; zbMATH DE number 1286440