Friday, 16:15 - 16:40 h, Room: H 2051


Szilárd László
Regularity conditions for the maximal monotonicity of the generalized parallel sum


We give several regularity conditions, both closedness and interior point type, that ensure the maximal monotonicity of the generalized parallel sum of two strongly representable maximal monotone operators, and we extend some recent results concerning on the same problem.
Our results are based on the concepts of representative function and Fenchel conjugate, while the technique used to establish closedness type, respectively interior-point type regularity conditions, that ensure the maximal monotonicity of this generalized parallel sum, is stable strong duality.
We give an useful application of the stable strong duality for the problem involving the function fº A+g, where
f and g are proper, convex and lower semicontinuous functions, and A is a linear and continuous operator. We
also introduce some new generalized infimal convolution formulas, and establish some results concerning on their
Fenchel conjugate.


Talk 3 of the invited session Fri.3.H 2051
"Monotone operators" [...]
Cluster 24
"Variational analysis" [...]


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