An Implicit Function Theorem for Inclusions Defined by Close Mappings


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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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