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

Dan Butnariu, Yair Censor

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)33-42
Number of pages10
JournalJournal of Computational and Applied Mathematics
Volume53
Issue number1
DOIs
StatePublished - 29 Jul 1994

Bibliographical note

Funding Information:
* Corresponding author. e-mail: rsma606@haifauvm.bitnet. ’ 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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