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Sufficient Conditions for Multiply Constrained Extrema

Thomas I. Vogel
Department of Mathematics
Texas A&M University
College Station, TX 77843

August 13, 1996

Assume that I and tex2html_wrap_inline434 , i=1, tex2html_wrap_inline438 , n are smooth functions defined on a Hilbert space tex2html_wrap_inline442 . We derive sufficient conditions for I to have a strong local minimum at a point y subject to the n constraints tex2html_wrap_inline450 .

Tom Vogel
Tue Aug 20 10:23:22 CDT 1996