
Journal of Convex Analysis 16 (2009), No. 2, 587600 Copyright Heldermann Verlag 2009 The Split Common Fixed Point Problem for Directed Operators Yair Censor Dept. of Mathematics, University of Haifa, Mt. Carmel, Haifa 31905, Israel yair@math.haifa.ac.il Alexander Segal Dept. of Mathematics, University of Haifa, Mt. Carmel, Haifa 31905, Israel asegal@math.haifa.ac.il 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. [ Fulltextpdf (151 KB)] for subscribers only. 