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math.FA2026
Nonmaximal sums of maximally monotone operators under Rockafellar's constraint qualification
Weifeng Yang
We construct counterexamples to Rockafellar's sum conjecture in which two maximally monotone operators satisfy the interior-domain condition but their sum is not maximally monotone…
math.FA2026
Sharp Lower Bounds on the Haraux Function Beyond Reflexivity
Weifeng Yang
We prove that the sharp lower bound for the Haraux function holds for every maximally monotone operator of type~(NI) on an arbitrary real Banach space. This extends t…