On the convexity of images of nonlinear integral operators

Author:

Kokurin M. Yu.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference14 articles.

1. V. I. Bogachev and O. G. Smolyanov, Real and Functional Analysis: A University Course (NITs RKh D, Moscow–Izhevsk, 2011) [in Russian].

2. J.-P. Aubin and H. Frankowska, Set-Valued Analysis (Birkhäuser, Boston, 1990).

3. M. Yu. Kokurin, “Convexity properties of images under nonlinear integral operators,” Mat. Sb. 205 (12), 99–110 (2014) [Sb. Math. 205 (12), 1775–1786 (2014)].

4. P. P. Zabreiko, A. I. Koshelev, M. A. Krasnosel’skii, et al., Integral Equations (Nauka, Moscow, 1968) [in Russian].

5. M. Otelbaev and G. A. Suvorchenkova, “A necessary and sufficient condition for boundedness and continuity of a certain class of Urysohn operators,” Sibirsk. Mat. Zh. 20 (1), 428–432 (1979) [Sib. Math. J. 20 (1), 307–310 (1979)].

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1. On generalized solvability of variable nonlinear integral equations on cones;Journal of Mathematical Analysis and Applications;2021-11

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