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Continuous approximations of multivalued mappings and fixed points

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Publication:2577361
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DOI10.1007/s11006-005-0115-yzbMath1079.47057OpenAlexW2331411968MaRDI QIDQ2577361

Boris Danilovich Gel'man

Publication date: 19 December 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0115-y

zbMATH Keywords

Hilbert spacefixed point theoremcontinuous selectionsingle-valued approximationcompletely continuous multivalued mapping


Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Selections in general topology (54C65) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)


Related Items

A hybrid fixed-point theorem for set-valued maps, Zeros of functionals and a parametric version of Michael selection theorem, A coincidence theorem for multivalued maps and its applications



Cites Work

  • Continuous selections. I
  • Equilibria of set-valued maps on nonconvex domains
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