Francesco S. de Blasi, Thakyin Hu and Jui-Chi Huang: Generic Tychonov well-posedness in spaces of convex sets, p.29-39

Abstract:

We consider minimization problems in the non linear space consisting of all non-empty compact convex subsets of a Banach space, equipped with the Pompeiu-Hausdorff metric and, in this setting, we establish a generic Tychonov well posedness result.

Key Words: Minimization problem, generic property, Tychonof well posedness, compact convex sets, Pompeiu-Hausdorff metric, Baire categories.

2000 Mathematics Subject Classification: Primary: 41A65
Secondary: 52A27.

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