** Thomas I. Vogel Department of Mathematics Texas A&M
University
College Station, TX 77843 e-mail: tvogel@math.tamu.edu**

**August 13, 1996**

Assume thatIand ,i=1, ,nare smooth functions defined on a Hilbert space . We derive sufficient conditions forIto have a strong local minimum at a pointysubject to thenconstraints .

Tue Aug 20 10:23:22 CDT 1996