Skip to main content

On the Kakutani fixed point theorem and its relationship with the selection problem I

  • Conference paper
  • First Online:
Set-Valued Mappings, Selections and Topological Properties of 2x

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 171))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. Kakutani, A generalization of Brouwer's fixed point theorem, Duke Math. J. 8 (1941), pp. 457–459.

    Article  MathSciNet  MATH  Google Scholar 

  2. E. Michael, Continuous selections I, Ann. of Math. 63 (1956), pp. 361–382.

    Article  MathSciNet  MATH  Google Scholar 

  3. S. Patnaik, Ph.D., Thesis, University of Illinois, Urbana, Illinois, 1963.

    Google Scholar 

Download references

Authors

Editor information

W. M. Fleischman

Rights and permissions

Reprints and permissions

Copyright information

© 1970 Springer-Verleg

About this paper

Cite this paper

Patnaik, SN. (1970). On the Kakutani fixed point theorem and its relationship with the selection problem I. In: Fleischman, W.M. (eds) Set-Valued Mappings, Selections and Topological Properties of 2x . Lecture Notes in Mathematics, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069724

Download citation

  • DOI: https://doi.org/10.1007/BFb0069724

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05293-7

  • Online ISBN: 978-3-540-36419-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics