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Title: | Conditioning and upper-Lipschitz inverse subdifferentials in nonsmooth optimization problems |
Authors: | Cornejo, O. Jourani, A. Zalinescu, C. |
Keywords: | subdifferentials; upper-Lipschitz property; conditioning; Ekeland variational principle. |
Issue Date: | 1997 |
Publisher: | Springer-Verlag Berlin |
Citation: | Journal of Optimization Theory and Applications 95 (1): 127 - 148 |
Abstract: | In this paper, we study conditioning problems for convexand nonconvex functions defined on normed linear spaces. We extendthe notion of upper Lipschitzness for multivalued functions introducedby Robinson, and show that this concept ensures local conditioning inthe nonconvex case via an abstract subdifferential; in the convex case,we obtain complete characterizations of global conditioning in terms ofan extension of the upper-Lipschitz property |
Description: | Cornejo, O. Assistant Professor, Departamento de Ingenieria de Sistemas Aplicada, Universidad de Talca,Curico, Chile. |
URI: | http://dspace.utalca.cl/handle/1950/4195 |
ISSN: | 0022-3239 |
Appears in Collections: | Artículos en publicaciones ISI - Universidad de Talca
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