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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
On stability of continuous extensions of mappings with respect to Nemytskii operator
A. V. Arutyunov, S. E. Zhukovskiy V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russian Federation
Abstract:
The concept of stability of continuous extension of mappings with respect to a Nemytskii superposition operator is studied. Sufficient conditions of such stability with respect to a Nemytskii superposition operator are obtained. The essentiality of the corresponding assumptions is illustrated by examples.
Keywords:
Nemytskii operator, stability, theorems on extensions of continuous mappings.
Citation:
A. V. Arutyunov, S. E. Zhukovskiy, “On stability of continuous extensions of mappings with respect to Nemytskii operator”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 11–14; Dokl. Math., 101:3 (2020), 182–184
Linking options:
https://www.mathnet.ru/eng/danma63 https://www.mathnet.ru/eng/danma/v492/p11
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Abstract page: | 95 | Full-text PDF : | 37 | References: | 13 |
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