Number of the records: 1
A note on Robinson-Ursescu and Lyusternik-Graves theorem
- 1.0395288 - MÚ 2014 RIV NL eng J - Journal Article
Cibulka, R. - Fabian, Marián
A note on Robinson-Ursescu and Lyusternik-Graves theorem.
Mathematical Programming. Roč. 139, 1-2 (2013), s. 89-101. ISSN 0025-5610. E-ISSN 1436-4646
R&D Projects: GA ČR(CZ) GAP201/11/0345
Institutional research plan: CEZ:AV0Z10190503
Keywords : open mapping * restrictive metricregularity * graves theorem
Subject RIV: BA - General Mathematics
Impact factor: 1.984, year: 2013
http://link.springer.com/article/10.1007%2Fs10107-013-0662-z
The aim of this note is twofold. First, we prove an analogue of the well-known Robinson–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.
Permanent Link: http://hdl.handle.net/11104/0223354
File Download Size Commentary Version Access Fabian.pdf 2 198.4 KB Publisher’s postprint require
Number of the records: 1