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Title of Journal: J Optim Theory Appl

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Abbravation: Journal of Optimization Theory and Applications

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Springer US

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DOI

10.1002/hyp.5549

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1573-2878

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Calmness and Exact Penalization in Constrained Sca

Authors: X X Huang
Publish Date: 2012/02/16
Volume: 154, Issue: 1, Pages: 108-119
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Abstract

In this paper we study a class of constrained scalar setvalued optimization problems which includes scalar optimization problems with cone constraints as special cases We introduce local calmness of order α for this class of constrained scalar setvalued optimization problems We show that the local calmness of order α is equivalent to the existence of a local exact setvalued penalty mapThis work is supported by the National Science Foundation of China and a research grant from Chongqing University The author would like to thank two anonymous referees for their detailed and constructive comments which help improve the presentation of the paper

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