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

Y. Alber; D. Butnariu

doi:10.1023/A:1022631928592

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

Y. Alber, D. Butnariu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	33-61
Number of pages	29
Journal	Journal of Optimization Theory and Applications
Volume	92
Issue number	1
DOIs	https://doi.org/10.1023/A:1022631928592
State	Published - Jan 1997

Keywords

Cyclic Bregman projection method
Cyclic metric projection method
Modulus of convexity of a function
Uniformly convex functions
Uniformly convex sets

ASJC Scopus subject areas

Management Science and Operations Research
Control and Optimization
Applied Mathematics

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title = "Convergence of Bregman projection methods for solving consistent convex feasibility problems in reflexive Banach spaces",

abstract = "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 Qi with nonempty intersection converge to common points of the given sets.",

keywords = "Cyclic Bregman projection method, Cyclic metric projection method, Modulus of convexity of a function, Uniformly convex functions, Uniformly convex sets",

author = "Y. Alber and D. Butnariu",

year = "1997",

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KW - Cyclic Bregman projection method

KW - Cyclic metric projection method

KW - Modulus of convexity of a function

KW - Uniformly convex functions

KW - Uniformly convex sets

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

Abstract

Keywords

ASJC Scopus subject areas

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