Set-Valued Robust Mappings and Approximatable Mappings

Set-Valued Robust Mappings and Approximatable Mappings

The concepts of robustness of sets and mappings were proposed for the theory of integral global optimization. This paper discusses the robustness of a set-valued mapping, associating with the stability problem. We extend the equivalence between the robustness and the approximatability to the case of...

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Veröffentlicht in:Journal of mathematical analysis and applications 1994-05, Vol.183 (3), p.706-726
Hauptverfasser: Shi, S.Z., Zheng, Q., Zhuang, D.M.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Functional analysis
Mathematical analysis
Mathematics
Sciences and techniques of general use
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Zusammenfassung:The concepts of robustness of sets and mappings were proposed for the theory of integral global optimization. This paper discusses the robustness of a set-valued mapping, associating with the stability problem. We extend the equivalence between the robustness and the approximatability to the case of a set-valued mapping. We deal also with "bi-robustness" and "in-robustness."
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1994.1176