Topological characteristics of multi-valued maps and Lipschitzian functionals

DOI10.1070/IM2008V072N04ABEH002413zbMath1166.47049OpenAlexW1970971465MaRDI QIDQ5502775

V. S. Klimov

Publication date: 9 January 2009

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2008v072n04abeh002413

zbMATH Keywords

Euler characteristicmultivalued mapstopological indexhomotopy invarianceLipschitz functionalsPoincaré--Hopf theorem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Set-valued and variational analysis (49J53) Equations involving nonlinear operators (general) (47J05) Set-valued operators (47H04) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Degree theory for nonlinear operators (47H11) Fixed-point theorems on manifolds (58C30) Fixed points and coincidences in algebraic topology (55M20) Set-valued and function-space-valued mappings on manifolds (58C06)

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Operator inclusions and quasi-variational inequalities

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