Maximality of the sum of the monotone operator of type (FPV) and a maximal monotone operator

Abstract

Here, question raised by Borwein and Yao has been settled by establishing that the sum of two maximal monotone operators A and B is maximal monotone with the condition that A is of type (FPV) and satisfies Rockafellar's constraints qualification. Also we have proved that A+B is of type (FPV) without assuming convexity on the domain of A.

arXiv commentThis paper has been withdrawn by the author due to error in Lemma 1

References in corpus (1)

• Maximality of the sum of the subdifferential operator and a maximally monotone operator