SET-VALUED ROBUST MAPPINGS AND APPROXIMATABLE MAPPINGS

Authors
SHI SZ ZHENG Q ZHUANG DM
Citation
Sz. Shi et al., SET-VALUED ROBUST MAPPINGS AND APPROXIMATABLE MAPPINGS, Journal of mathematical analysis and applications, 183(3), 1994, pp. 706-726
Citations number
19
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
183
Issue
3
Year of publication
1994
Pages
706 - 726
Database
ISI
SICI code
0022-247X(1994)183:3<706:SRMAAM>2.0.ZU;2-M
Abstract
The concepts of robustness of sets and mappings were proposed for the theory of integral global optimization. This paper discusses the robus tness of a set-valued mapping, associating with the stability problem. We extend the equivalence between the robustness and the approximatab ility to the case of a set-valued mapping. We deal also with ''bi-robu stness'' and ''in-robustness.'' (C) 1994 Academic Press, Inc.