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papersSEP 10 04:00 UTC

New counterexamples disprove Rockafellar's sum conjecture under interior-domain condition

A newly posted paper builds explicit counterexamples to Rockafellar's sum conjecture, showing pairs of maximally monotone operators that meet the interior-domain qualification yet whose sum fails maximal monotonicity. One example is constructed on the Banach space c0 and another on l1. The results settle a long-standing open question in convex analysis and optimization theory.

R. Tyrrell Rockafellar Rockafellar's sum conjecture convex analysis maximal monotonicity maximally monotone operators optimization-theory

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arXiv cs.LGNonmaximal sums of maximally monotone operators under Rockafellar's constraint qualification ↗SEP 10 04:00 UTC

arXiv cs.LGNonmaximal sums of maximally monotone operators under Rockafellar's constraint qualification ↗TODAY 04:00 UTC