Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces

Dan Butnariu; Yair Censor

doi:10.1016/0377-0427(92)00123-Q

Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces

Dan Butnariu, Yair Censor

Department of Mathematics

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

Abstract

We prove strong convergence of a class of block-iterative projection methods for finding a common point of a finite family of closed convex subsets in a Hilbert space.

Original language	English
Pages (from-to)	33-42
Number of pages	10
Journal	Journal of Computational and Applied Mathematics
Volume	53
Issue number	1
DOIs	https://doi.org/10.1016/0377-0427(92)00123-Q
State	Published - 29 Jul 1994

Bibliographical note

Funding Information:
* Corresponding author. e-mail: [email protected]. ’ The work of this author was supported by NIH Grant HL-28438, while visiting the Medical Image Processing Group (MIPG) at the Department of Radiology, Hospital of the University of Pennsylvania, Philadelphia, PA, United States.

Keywords

Block-iterative projection method
Boundedly compact set
Convex feasibility problem
Strong convergence
Uniformly convex set
Weak convergence

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/0377-0427(92)00123-Q

Cite this

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title = "Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces",

abstract = "We prove strong convergence of a class of block-iterative projection methods for finding a common point of a finite family of closed convex subsets in a Hilbert space.",

keywords = "Block-iterative projection method, Boundedly compact set, Convex feasibility problem, Strong convergence, Uniformly convex set, Weak convergence",

author = "Dan Butnariu and Yair Censor",

note = "Funding Information: * Corresponding author. e-mail: [email protected]. {\textquoteright} The work of this author was supported by NIH Grant HL-28438, while visiting the Medical Image Processing Group (MIPG) at the Department of Radiology, Hospital of the University of Pennsylvania, Philadelphia, PA, United States.",

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AU - Censor, Yair

N1 - Funding Information: * Corresponding author. e-mail: [email protected]. ’ The work of this author was supported by NIH Grant HL-28438, while visiting the Medical Image Processing Group (MIPG) at the Department of Radiology, Hospital of the University of Pennsylvania, Philadelphia, PA, United States.

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AB - We prove strong convergence of a class of block-iterative projection methods for finding a common point of a finite family of closed convex subsets in a Hilbert space.

KW - Block-iterative projection method

KW - Boundedly compact set

KW - Convex feasibility problem

KW - Strong convergence

KW - Uniformly convex set

KW - Weak convergence

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Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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