Abstract | ||
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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 |
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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 |
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Xi Yin Zheng | 1 | 236 | 24.17 |
Kung Fu Ng | 2 | 311 | 27.85 |