Convergence of Bregman projection methods for solving consistent convex feasibility problems in reflexive Banach spaces

被引：62

作者：

Alber, Y ^{[1
]}

Butnariu, D ^{[1
]}

机构：

[1] UNIV HAIFA,DEPT MATH & COMP SCI,IL-31999 HAIFA,ISRAEL

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1997年 / 92卷 / 01期

关键词：

cyclic metric projection method; cyclic Bregman projection method; modulus of convexity of a function; uniformly convex functions; uniformly convex sets;

D O I：

10.1023/A:1022631928592

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The problem that we consider is whether or under what conditions sequences generated in reflexive Banach spaces by cyclic Bregman projections on finitely many closed convex subsets Q(i) with nonempty intersection converge to common points of the given sets.

引用

页码：33 / 61

页数：29

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