STRONG-CONVERGENCE OF EXPECTED-PROJECTION METHODS IN HILBERT-SPACES

被引：24

作者：

BUTNARIU, D

FLAM, SD

机构：

[1] UNIV BERGEN, DEPT ECON, N-5007 BERGEN, NORWAY

[2] UNIV HAIFA, DEPT MATH & COMP SCI, IL-31905 HAIFA, ISRAEL

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1995年 / 16卷 / 5-6期

关键词：

D O I：

10.1080/01630569508816635

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Projection methods are iterative algorithms for computing common points of convex sets. They proceed via successive or simultaneous projections onto the given sets. Expected-projection methods, as defined in this work, generalize the simultaneous projection methods. We prove under quite mild conditions, that expected-projection methods in Hilbert spaces converge strongly to almost common points of infinite families of convex sets provided that such points exist. Relying on this result we show how expected-projection methods can be used to solve significant problems of applied mathematics.

引用

页码：601 / 636

页数：36

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