OPTIMALITY CONDITIONS FOR LOWER SEMICONTINUOUS FUNCTIONS

Authors
CHOU CC LI XB NG KF SHI SZ
Citation
Cc. Chou et al., OPTIMALITY CONDITIONS FOR LOWER SEMICONTINUOUS FUNCTIONS, Journal of mathematical analysis and applications, 202(2), 1996, pp. 686-700
Citations number
14
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
202
Issue
2
Year of publication
1996
Pages
686 - 700
Database
ISI
SICI code
0022-247X(1996)202:2<686:OCFLSF>2.0.ZU;2-B
Abstract
Let f be a lower semi-continuous and bounded below function from a Ban ach space X into (-infinity, +infinity] where X is assumed to admit a Lipschitz smooth ''bump-function.'' Generalizing results of Chaney, we study optimality conditions for (x) over bar is an element of X to be a local minimum point of f. These conditions are described in terms o f generalized Chaney's subdifferentials and second-order derivatives. (C) 1996 Academic Press, Inc.