Abstract
The stability of the image of a moving convex set by a multifunction is considered. This study completes the persistence results obtained in Part 1 of this paper (Ref. 1). The results can be applied to epigraphs, hence to the convergence of convex functions.
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Penot, J.P. Preservation of persistence and stability under intersections and operations, part 2: Stability. J Optim Theory Appl 79, 551–561 (1993). https://doi.org/10.1007/BF00940558
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DOI: https://doi.org/10.1007/BF00940558