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Integration of ε-Fenchel Subdifferentials and Maximal Cyclic Monotonicity

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Abstract

This paper concerns the integration of ε-Fenchel subdifferentials of proper lower semicontinuous convex functions defined on arbitrary topological vector spaces. We make use of integration tools to provide a representation formula of the approximate subdifferential of convex functions, and also to identify the class of maximal cyclically monotone families of operators.

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Correspondence to Sylvie Marcellin.

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Marcellin, S., Thibault, L. Integration of ε-Fenchel Subdifferentials and Maximal Cyclic Monotonicity. J Glob Optim 32, 83–91 (2005). https://doi.org/10.1007/s10898-004-5905-3

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  • DOI: https://doi.org/10.1007/s10898-004-5905-3

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