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Common Fixed Point
Convex Optimization
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Multiplication Operator
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On StringAveraging for Sparse Problems and On the Split Common Fixed Point Problem
On StringAveraging for Sparse Problems and On the Split Common Fixed Point Problem,Yair Censor,Alexander Segal
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On StringAveraging for Sparse Problems and On the Split Common Fixed Point Problem
(
Citations: 4
)
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Yair Censor
,
Alexander Segal
We review the common …xed point problem for the class of directed operators. This class is important because many commonly used non linear operators in
convex optimization
belong to it. We present our recent de…nition of sparseness of a family of operators and discuss a stringaveraging algorithmic scheme that favorably handles the com mon …xed points problem when the family of operators is sparse. We also review some recent results on the multiple operators split com mon …xed point problem which requires to …nd a common …xed point of a family of operators in one space whose image under a linear trans formation is a common …xed point of another family of operators in the image space.
Published in 2008.
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References
(65)
Blockiterative projection methods for parallel computation of solutions to convex feasibility problems
(
Citations: 59
)
R. Aharoni
,
Y. Censor
Journal:
Linear Algebra and Its Applications  LINEAR ALGEBRA APPL
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(
Citations: 392
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Heinz H. Bauschke
,
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Published in 1996.
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(
Citations: 59
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,
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Published in 1997.
A WeaktoStrong Convergence Principle for FejéMonotone Methods in Hilbert Spaces
(
Citations: 83
)
Heinz H. Bauschke
,
Patrick L. Combettes
Journal:
Mathematics of Operations Research  MOR
, vol. 26, no. 2, pp. 248264, 2001
Extrapolation algorithm for aneconvex feasibility problems
(
Citations: 18
)
Heinz H. Bauschke
,
Patrick L. Combettes
,
Serge G. Kruk
Journal:
Numerical Algorithms
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Citations
(4)
Algorithms for the Split Variational Inequality Problem
Yair Censor
,
Aviv Gibali
,
Simeon Reich
Journal:
Numerical Algorithms
, pp. 123, 2010
The Split Variational Inequality Problem
Yair Censor
,
Aviv Gibali
,
Simeon Reich
Published in 2010.
1 Dissertations, authored books and edited volumes
Y. Censor
,
T. Elfving
,
G. T. Herman
,
S. A. Zenios
,
S. Reich
,
D. Butnariu
,
M. Ding
,
J. M. Galvin
,
M. Langer
,
Y. Xiao
,
M. Jiang
,
A. K. Louis
Published in 2008.
OpialType Theorems and the Common Fixed Point Problem
(
Citations: 2
)
Andrzej Cegielski
,
Yair Censor