Title
Calmness for L-Subsmooth Multifunctions in Banach Spaces
Abstract
Using variational analysis techniques, we study subsmooth multifunctions in Banach spaces. In terms of the normal cones and coderivatives, we provide some characterizations for such multifunctions to be calm. Sharper results are obtained for Asplund spaces. We also present some exact formulas of the modulus of the calmness. As applications, we provide some error bound results on nonconvex inequalities, which improve and generalize the existing error bound results.
Year
DOI
Venue
2009
10.1137/080714129
SIAM Journal on Optimization
Keywords
Field
DocType
l-subsmooth multifunctions,variational analysis technique,normal cone,banach space,subsmooth multifunctions,existing error,asplund space,banach spaces,sharper result,nonconvex inequality,exact formula,multifunction
Variational analysis,Mathematical optimization,Banach space,Calmness,Mathematics
Journal
Volume
Issue
ISSN
19
4
1052-6234
Citations 
PageRank 
References 
8
0.66
17
Authors
2
Name
Order
Citations
PageRank
Xi Yin Zheng123624.17
Kung Fu Ng231127.85