title: The Split Common Fixed Point Problem for Directed Operators.
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.
authors.affiliation: Department of Mathematics, University of Haifa Mt. Carmel, Haifa 31905, Israel.
authors.forename: Yair
authors.initials: Y
authors.lastname: Censor
authors.forename: Alexander
authors.initials: A
authors.lastname: Segal