The split common fixed point problem for directed operators

Yair Censor, Alexander Segal

Research output: Contribution to journalArticlepeer-review

Abstract

We propose the split common fixed point problem that requires to find a common fixed point of a family of operators in one space whose image under a linear transformation is a common fixed point of another family of operators in the image space. We formulate and analyze a parallel algorithm for solving this split common fixed point problem for the class of directed operators and note how it unifies and generalizes previously discussed problems and algorithms.

Original languageEnglish
Pages (from-to)587-600
Number of pages14
JournalJournal of Convex Analysis
Volume16
Issue number2
StatePublished - 2009

ASJC Scopus subject areas

  • Analysis
  • Mathematics (all)

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