Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 31, pp. 1-6.

Title: Stability of convergent continuous descent methods

Authors: Sergiu Aizicovici (Ohio University, Athens, OH, USA)
         Simeon Reich (The Technion-Israel Inst. of Tech. Haifa, Israel)
	 Alexander J. Zaslavski (The Technion-Israel Inst. of Tech. Haifa, Israel)
 
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.