Sergiu Aizicovici, Simeon Reich, Alexander J. Zaslavski
Abstract:
We consider continuous descent methods for the
minimization of convex functions defined on a general Banach
space. In our previous work we showed that most of them (in the
sense of Baire category) converged. In the present paper we show
that convergent continuous descent methods are stable under small
perturbations.
Submitted September 3, 2006. Published February 22, 2007.
Math Subject Classifications: 37L99, 47J35, 49M99, 54E35, 54E50, 54E52, 90C25.
Key Words: Complete uniform space; convex function; descent method;
generic property; initial value problem.
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Sergiu Aizicovici Department of Mathematics, Ohio University Athens, OH 45701, USA email: aizicovi@math.ohiou.edu |
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Simeon Reich Department of Mathematics The Technion-Israel Institute of Technology 32000 Haifa, Israel email: sreich@tx.technion.ac.il |
| Alexander J. Zaslavski Department of Mathematics The Technion-Israel Institute of Technology 32000 Haifa, Israel email: ajzasl@tx.technion.ac.il |
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