- Title
- Necessary conditions for constrained optimization problems with semicontinuous and continuous data
- Creator
- Borwein, Jonathan M.; Treiman, Jay S.; Zhu, Qiji I.
- Relation
- Transactions of the American Mathematical Society Vol. 350, Issue 6, p. 2409-2429
- Publisher Link
- http://dx.doi.org/10.1090/S0002-9947-98-01984-9
- Publisher
- American Mathematical Society (AMS)
- Resource Type
- journal article
- Date
- 1998
- Description
- We consider nonsmooth constrained optimization problems with semicontinuous and continuous data in Banach space and derive necessary conditions without constraint qualification in terms of smooth subderivatives and normal cones. These results, in different versions, are set in reflexive and smooth Banach spaces.
- Subject
- constrained optimization problems; multipliers; nonsmooth analysis; normals; subderivatives; fuzzy calculus
- Identifier
- http://hdl.handle.net/1959.13/940457
- Identifier
- uon:13014
- Identifier
- ISSN:0002-9947
- Rights
- First published in Transactions of the American Mathematical Society in Vol. 350, No. 6, pp. 2409-2429, 1998, published by the American Mathematical Society.
- Language
- eng
- Full Text
- Reviewed
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