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ISSN 1088-6850(e) ISSN 0002-9947(p)

Necessary conditions for constrained optimization problems with semicontinuous and continuous data

Author(s): Jonathan M. Borwein; Jay S. Treiman; Qiji J. Zhu
Journal: Trans. Amer. Math. Soc. 350 (1998), 2409-2429.
MSC (1991): Primary 49J52; Secondary 49J40, 49J50, 58C20
MathSciNet review: 1433112
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Abstract: 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.

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