An Implicit Function Theorem for Inclusions Defined by Close Mappings
- Authors: Avakov E.R.1,2, Magaril-Il’yaev G.G.2,3,4
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Affiliations:
- Trapeznikov Institute for Control Problems
- Lomonosov Moscow State University
- Kharkevich Institute for Information Transmission Problems
- Southern Mathematical Institute, Vladikavkaz Research Center
- Issue: Vol 103, No 3-4 (2018)
- Pages: 507-512
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150703
- DOI: https://doi.org/10.1134/S0001434618030185
- ID: 150703
Cite item
Abstract
The paper deals with the question of the solvability of inclusions F(x, σ) ∈ Q for mappings F close, in some metrics, to a given mapping ̂F.
About the authors
E. R. Avakov
Trapeznikov Institute for Control Problems; Lomonosov Moscow State University
Author for correspondence.
Email: eramag@mail.ru
Russian Federation, Moscow; Moscow
G. G. Magaril-Il’yaev
Lomonosov Moscow State University; Kharkevich Institute for Information Transmission Problems; Southern Mathematical Institute, Vladikavkaz Research Center
Email: eramag@mail.ru
Russian Federation, Moscow; Moscow; Vladikavkaz
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