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math.OC2023
Integral Resolvent and Proximal Mixtures
Minh N. Bùi, Patrick L. Combettes
Using the theory of Hilbert direct integrals, we introduce and study a monotonicity-preserving operation, termed the integral resolvent mixture. It combines arbitrary families of m…
math.FA2023★ 1 cited
Hilbert Direct Integrals of Monotone Operators
Minh N. Bùi, Patrick L. Combettes
Finite Cartesian products of operators play a central role in monotone operator theory and its applications. Extending such products to arbitrary families of operators acting on di…
math.FA2023★ 2 cited
Interchange Rules for Integral Functions
Minh N. Bùi, Patrick L. Combettes
We first present an abstract principle for the interchange of infimization and integration over spaces of mappings taking values in topological spaces. New conditions on the underl…