Enlarged Inclusion of Subdifferentials

Lionel Thibault, Dariusz Zagrodny · Canadian Mathematical Bulletin · 2005

Abstract This paper studies the integration of inclusion of subdifferentials. Under various verifiable conditions, we obtain that if two proper lower semicontinuous functions f and g have the subdifferential of f included in the γ -enlargement of the subdifferential of g , then the difference of those functions is γ -Lipschitz over their effective domain.

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