Variational and Extended Sums of Monotone Operators
- Cite this paper as:
- Revalski J.P., Théra M. (1999) Variational and Extended Sums of Monotone Operators. In: Théra M., Tichatschke R. (eds) Ill-posed Variational Problems and Regularization Techniques. Lecture Notes in Economics and Mathematical Systems, vol 477. Springer, Berlin, Heidelberg
In this article we show that the notion of variational sum of maximal monotone operators, introduced by Attouch, Baillon and Théra in  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 .
Keywordsmonotone operators sums of operators enlargements Yosida regularizations subdifferentials
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