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arXiv:1411.6199 [math.FA]AbstractReferencesReviewsResources

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

S. R. Pattanaik, D. K. Pradhan

Published 2014-11-23Version 1

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.

Categories: math.FA
Subjects: 47H05, 49N15, 52A41, 90C25
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