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Hu, Rong; Fang, Ya-Ping

Set-valued increasing-along-rays maps and well-posed set-valued star-shaped optimization. (English) Zbl 1114.49026

J. Math. Anal. Appl. 331, No. 2, 1371-1383 (2007).
The authors introduce a class of set-valued increasing-along-rays maps and present some properties of set-valued increasing-along-rays maps. It is shown that the increasing-along-rays property of a set-valued map is close related to the corresponding set-valued star-shaped optimization. By means of increasing-along-rays property, the stability and well-posedness of set-valued star-shaped optimization is investigated.
Reviewer: Jagdish Prakash (Mumbai)

Cited in 7 Documents

MSC:

49K40 Sensitivity, stability, well-posedness
49J53 Set-valued and variational analysis

Keywords:

set valued maps
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\textit{R. Hu} and \textit{Y.-P. Fang}, J. Math. Anal. Appl. 331, No. 2, 1371--1383 (2007; Zbl 1114.49026)
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References:

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