Variational and Extended Sums of Monotone Operators

Julian P Revalski,Michel Théra

doi:10.1007/978-3-642-45780-7_14

Variational and Extended Sums of Monotone Operators

Julian P Revalski, Michel Théra

https://doi.org/10.1007/978-3-642-45780-7_14

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Publication Date: Jan 1, 1999

Citations: 16

Affiliation: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, University of Limoges

#Sum Of Maximal Monotone Operators #Setting Of Hilbert Spaces + Show 8 more

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Abstract

In this article we show that the notion of variational sum of maximal monotone operators, introduced by Attouch, Baillon and Théra in [3] in the setting of Hilbert spaces, can be successfully extended to the case of reflexive Banach spaces, preserving all of its properties. We make then a comparison with the usual pointwise sum and with the notion of extended sum proposed in our paper [26].

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