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

Published 23 Nov 2014 in math.FA | (1411.6199v8)

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.

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