Convergence of a class of penalty methods for constrained scalar set-valued optimization

In this paper, we study a class of penalty methods for a class of constrained scalar set-valued optimization problems. We establish an equivalence relation between the lower semicontinuity at the origin of the optimal value function of the perturbed problem and the convergence of the penalty methods. Some sufficient conditions that guarantee the convergence of the penalty methods are also derived. Copyright Springer Science+Business Media, LLC. 2013

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Year of publication:	2013
Authors:	Huang, X.
Published in:	Journal of Global Optimization. - Springer. - Vol. 56.2013, 4, p. 1501-1513
Publisher:	Springer
Subject:	Constrained scalar set-valued optimization \| Penalty methods \| Convergence \| Lower semicontinuity of a function \| Upper semicontinuity of a set-valued map

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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