Sum of two maximal monotone operators in a general Banach space is maximal

Published 19 May 2015 in math.FA | (1505.04879v2)

Abstract: In a real Banach space, we first prove that the sum of a monotone operator of type (FPV) and maximal monotone operator Rockafellar's constraint qualification is maximal. This prove leads to the solution of most interesting long-time outstanding problem in monotone operator theory is the sum problem.

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