Geodesic
The Split Common Fixed Point Problem for Directed Operators
Journal of convex analysis, Tome 16 (2009) no. 2, pp. 587-6 
Y. Censor; A. Segal. The Split Common Fixed Point Problem for Directed Operators. Journal of convex analysis, Tome 16 (2009) no. 2, pp. 587-6. http://geodesic.mathdoc.fr/item/JCA_2009_16_2_JCA_2009_16_2_a14/
@article{JCA_2009_16_2_JCA_2009_16_2_a14,
     author = {Y. Censor and A. Segal},
     title = {The {Split} {Common} {Fixed} {Point} {Problem} for {Directed} {Operators}},
     journal = {Journal of convex analysis},
     pages = {587--6},
     year = {2009},
     volume = {16},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2009_16_2_JCA_2009_16_2_a14/}
}
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Voir la notice de l'article provenant de la source Heldermann Verlag

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.