48 citations · 74 across the 3 of their papers we have counts for
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General Resolvents for Monotone Operators: Characterization and Extension
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
Monotone operators, especially in the form of subdifferential operators, are of basic importance in optimization. It is well known since Minty, Rockafellar, and Bertsekas-Eckstein…
Monotone Linear Relations: Maximality and Fitzpatrick Functions
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
We analyze and characterize maximal monotonicity of linear relations (set-valued operators with linear graphs). An important tool in our study are Fitzpatrick functions. The result…
Autoconjugate representers for linear monotone operators
Heinz H. Bauschke, Xianfu Wang, Liangjin Yao
Monotone operators are of central importance in modern optimization and nonlinear analysis. Their study has been revolutionized lately, due to the systematic use of the Fitzpatrick…