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arXiv · 2504.00675

Tikhonov Well-Posedness and Differentiability on Asymmetrically Normed Spaces

Jan Fischer·Jobst Ziebell
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Abstract

On normed vector spaces there is a well-known connection between the Tikhonov well-posedness of a minimisation problem and the differentiability of an associated convex conjugate function. We show how this duality naturally generalises to the setting of asymmetrically normed spaces and prove a universal differentiability property of the convex conjugate of the cumulant-generating function of a mean-zero measure on a locally convex space.

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Jan Fischer, Jobst Ziebell. 2025-04-01. Tikhonov Well-Posedness and Differentiability on Asymmetrically Normed Spaces. https://arxiv.org/abs/2504.00675

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