On Ranges of Non-linear Operators

We derive conditions ensuring that the range of a given continuous mapping with a compact convex domain covers a prescribed set. In Fréchet spaces, we consider approximations by one single-valued mapping such that the inverse of it has either convex fibers or admits a continuous single-valued select...

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Bibliographic Details
Published in:	Set-valued and variational analysis Vol. 30; no. 2; pp. 789 - 810
Main Authors:	Cibulka, Radek, Roubal, Tomáš
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.06.2022 Springer Nature B.V
Subjects:	Analysis Approximation Blackout Continuous fibers Jacobians Linear operators Mapping Mathematics Mathematics and Statistics Operators (mathematics) Optimization Original Research Regularity Security management Theorems Pseudo-Jacobian 58C15 Linear openness 49J53 Non-linear image 49J52 Directional regularity Open mapping theorem 47J07 47J05 Clarke generalized Jacobian
ISSN:	1877-0533, 1877-0541
Online Access:	Get full text
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