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 language | English |
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Pages (from-to) | 587-600 |
Number of pages | 14 |
Journal | Journal of Convex Analysis |
Volume | 16 |
Issue number | 2 |
State | Published - 2009 |
ASJC Scopus subject areas
- Analysis
- General Mathematics