On the relative fixed point index for a class of noncompact multivalued maps

DOI10.3103/S1066369X2105008XOpenAlexW3166112601MaRDI QIDQ2041615

E. N. Getmanova, Valerii V. Obukhovskij, Sergeĭ Viktorovich Kornev

Publication date: 23 July 2021

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

Full work available at URL: https://doi.org/10.3103/s1066369x2105008x

zbMATH Keywords

fixed pointmeasure of noncompactnessfixed point indexcondensing map\(J^c\)-mapfundamentally restrictible map

Mathematics Subject Classification ID

Maps and general types of topological spaces defined by maps (54Cxx) Nonlinear operators and their properties (47Hxx) Classical topics in algebraic topology (55Mxx)

Cites Work

• Application of a coincidence index to some classes of impulsive control systems
• Approximating compact sets in normed linear spaces
• On the homotopy method in the fixed point index theory of multi-valued mappings of compact absolute neighborhood retracts
• Fixed-point index for compositions of set-valued maps with proximally \(\infty\)-connected values on arbitrary ANR's
• Topological Fixed Point Theory of Multivalued Mappings
• On decreasing sequences of compact absolute retracts
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