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

Xiaoqi Huang

Journal of Global Optimization, 2013, vol. 56, issue 4, 1513 pages

Abstract: 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

Keywords: Constrained scalar set-valued optimization; Penalty methods; Convergence; Lower semicontinuity of a function; Upper semicontinuity of a set-valued map (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9910-7

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