Calmness and Exact Penalization in Constrained Scalar Set-Valued Optimization

X. X. Huang ()
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X. X. Huang: Chongqing University

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 1, No 7, 108-119

Abstract: Abstract In this paper, we study a class of constrained scalar set-valued 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 set-valued optimization problems. We show that the (local) calmness of order α is equivalent to the existence of a (local) exact set-valued penalty map.

Keywords: Constrained scalar set-valued optimization; Calmness; Exact penalization (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-9998-4

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