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.

引用

页码：139 / 156

页数：17