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Cutting and scanning methods in set-valued analysis I. An epigraphical and graphical calculus

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Abstract

Cutting analysis of sets (scanning, laser exploration, etc.), when applied to epigraphs of functions and graphs of operators, gives rise to a rich calculus and provides a unifying approach to various operations in optimization and variational analysis.

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Attouch, H., Volle, M. Cutting and scanning methods in set-valued analysis I. An epigraphical and graphical calculus. Set-Valued Anal 4, 135–155 (1996). https://doi.org/10.1007/BF00425962

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