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Maximal monotone operators with non-maximal graphical limit (2107.10055v1)
Published 21 Jul 2021 in math.FA and math.OC
Abstract: We present a counterexample showing that the graphical limit of maximally monotone operators might not be maximally monotone. We also characterize the directional differentiability of the resolvent of an operator $B$ in terms of existence and maximal monotonicity of the proto-derivative of $B$.
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