Convergence theorems for continuous descent methods

被引：0
|
作者：
Sergiu Aizicovici
Simeon Reich
Alexander J. Zaslavski
机构：
[1] Ohio University,Department of Mathematics
[2] The Technion-Israel Institute of Technology,Department of Mathematics
来源：
Journal of Evolution Equations | 2004年 / 4卷
关键词：
37L99; 47J35; 49M99; 54E35; 54E50; 54E52; 90C25; Complete metric space; descent method; Lipschitzian function; porous set; regular vector field;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We examine continuous descent methods for the minimization of Lipschitzian functions defined on a general Banach space. We establish several convergence theorems for those methods which are generated by regular vector fields. Since the complement of the set of regular vector fields is σ-porous, we conclude that our results apply to most vector fields in the sense of Baire’s categories.
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页码：139 / 156
页数：17
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