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An extension to a theorem of Himmelberg

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Publication:860571
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DOI10.1016/j.jmaa.2006.04.048zbMath1109.54025OpenAlexW1985303960MaRDI QIDQ860571

N. E. Zubov

Publication date: 9 January 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.04.048


zbMATH Keywords

fixed pointstopological vector spaceupper semicontinuous multifunctions


Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)


Related Items

Fixed Point Theorems for Discontinuous Maps on a Non‐convex Domain ⋮ Remarks on extensions of the Himmelberg fixed point theorem ⋮ Equilibria of noncompact abstract economies in general almost convex strategy spaces



Cites Work

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  • A generalization of Tychonoff's fixed point theorem
  • Some fixed point theorems for nonconvex spaces
  • On the existence of symmetric mixed strategy equilibria
  • The fixed point theory of multi-valued mappings in topological vector spaces
  • A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points
  • Fixed points of compact multifunctions
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