Abstract
Motivated by a classical result concerning the ε-subdifferential of the sum of two proper, convex and lower semicontinuous functions, we give in this paper a similar result for the enlargement of the sum of two maximal monotone operators defined on a Banach space. This is done by establishing a necessary and sufficient condition for a bivariate inf-convolution formula.
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R. I. Boţ’s research partially supported by DFG (German Research Foundation), project WA 922/1.
E. R. Csetnek’s research supported by a Graduate Fellowship of the Free State Saxony, Germany.
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Boţ, R.I., Csetnek, E.R. An Application of the Bivariate Inf-Convolution Formula to Enlargements of Monotone Operators. Set-Valued Anal 16, 983–997 (2008). https://doi.org/10.1007/s11228-008-0093-9
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DOI: https://doi.org/10.1007/s11228-008-0093-9