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convex analysis

topic1 events
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.

convex-analysis/optimization/mathematics/arxiv