Calmness and exact penalization in vector optimization under nonlinear perturbations
type: Item
instance of: scholarly article
title: Calmness and exact penalization in vector optimization under nonlinear perturbations
zbMATH Open document ID: 1331.90099
published in: Journal of Optimization Theory and Applications
publication date: 2014-10-23T00:00:00Z
review text: A calmness property is a basic regularity condition for the study of the sensitivity behavior of variational problems subject to perturbation. It contributes to uncover deep insight into the issue of the existence of exact penalty functions in constrained optimization. Penalty methods have never been studied for vector optimization problem with equilibrium constraints, which are only special cases of vector optimization problems under nonlinear perturbations. In this paper, a vector optimization problem under nonlinear perturbations is studied. The notion of the calmness property is introduced. The relationship between the local calmness property and the existence of local exact penalty functions for the problem is investigated. Sufficient conditions for the calmness are derived.
reviewed by: Tadeusz Trzaskalik
Mathematics Subject Classification ID: 90C49
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C48
zbMATH DE Number: 6360652
zbMATH Keywords: vector optimization under nonlinear perturbations
zbMATH Keywords: weakly efficient solution
zbMATH Keywords: calmness
zbMATH Keywords: exact penalization
zbMATH Keywords: value function
MaRDI profile type: Publication
full work available at URL: s10957-013-0338-0
OpenAlex ID: W2034156873
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DOI: 10.1007/S10957-013-0338-0
author: J. Zhai
author: X. X. Huang
description: scientific article; zbMATH DE number 6360652