|
Variational Inequalities and Analogs of the Hopf Theorems
V. S. Klimov P.G. Demidov Yaroslavl State University
Abstract:
Properties of the approximate rotation of vector fields generated by multivalued maps of monotone type are studied. Analogs of the Hopf theorems on the extension of multivalued maps without singular points and homotopy classification of the corresponding vector fields are proved. Applications to variational inequalities and operator inclusions are outlines.
Keywords:
variational inequality, operator inclusion, relative degree, multivalued map, convex set.
Received: 13.10.2018 Revised: 29.05.2019
Citation:
V. S. Klimov, “Variational Inequalities and Analogs of the Hopf Theorems”, Mat. Zametki, 108:1 (2020), 64–80; Math. Notes, 108:1 (2020), 64–76
Linking options:
https://www.mathnet.ru/eng/mzm12222https://doi.org/10.4213/mzm12222 https://www.mathnet.ru/eng/mzm/v108/i1/p64
|
Statistics & downloads: |
Abstract page: | 291 | Full-text PDF : | 62 | References: | 41 | First page: | 8 |
|