A note on Robinson-Ursescu and Lyusternik-Graves theorem
نویسندگان
چکیده
The aim of this note is twofold. First, we prove an analogue of the wellknownRobinson–Ursescu Theorem on the relative openness with a linear rate (restrictive metric regularity) of a multivalued mapping. Second, we prove a generalization of Graves Open Mapping Theorem for a class of mappings which can be approximated at a reference point by a bunch of linear mappings. The approximated non-linear mapping is restricted to a closed convex subset of a Banach space.
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ورودعنوان ژورنال:
- Math. Program.
دوره 139 شماره
صفحات -
تاریخ انتشار 2013