Asymptotic Behavior of Approximate Solutions to Evolution Equations in Banach Spaces
Sergiu Aizicovici
Ohio University, Athens, United StatesSimeon Reich
Technion - Israel Institute of Technology, Haifa, IsraelAlexander J. Zaslavski
Technion - Israel Institute of Technology, Haifa, Israel
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Abstract
We study evolution equations in Banach spaces governed by a class of mappings associated with continuous descent methods for the minimization of convex functions. In our previous work we showed that for most of these mappings (in the sense of Baire category) the corresponding solutions converged. In the present paper we show that this remains true even for approximate solutions.
Cite this article
Sergiu Aizicovici, Simeon Reich, Alexander J. Zaslavski, Asymptotic Behavior of Approximate Solutions to Evolution Equations in Banach Spaces. Z. Anal. Anwend. 28 (2009), no. 3, pp. 295–303
DOI 10.4171/ZAA/1386