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math.FA2009
Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
In this paper, we give two explicit examples of unbounded linear maximal monotone operators. The first unbounded linear maximal monotone operator on is skew. We show…
math.FA2009
A note on the paper by Eckstein and Svaiter on "General projective splitting methods for sums of maximal monotone operators"
Heinz H. Bauschke
In their recent SIAM J. Control Optim. paper from 2009, J. Eckstein and B.F. Svaiter proposed a very general and flexible splitting framework for finding a zero of the sum of finit…
math.FA2009
An Answer to S. Simons' Question on the Maximal Monotonicity of the Sum of a Maximal Monotone Linear Operator and a Normal Cone Operator
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
The question whether or not the sum of two maximal monotone operators is maximal monotone under Rockafellar's constraint qualification - that is, whether or not "the sum theorem" i…