Skip to main content

Some results on multi-valued contraction mappings

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

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. M. Edelstein, "An extension of Banach's contraction principle," Proc. Amer. Math. Soc., 12 (1961), pp. 7–10.

    MathSciNet  MATH  Google Scholar 

  2. W. A. J. Luxemburg, "On the convergence of successive approximations in the theory of ordinary differential equations, II," Koninkl. Nederl. Akademie van Wetenschappen, Amsterdam, Proc. Ser. A (5) 61, and Indag. Math. (5), 20 (1958), pp. 540–546.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. J. T. Markin, "Fixed point theorems for set valued contractions", Notices Amer. Math. Soc., 15 (1968), p. 373.

    MathSciNet  Google Scholar 

  4. S. B. Nadler, Jr., "Multi-valued contraction mappings," Notices Amer. Math. Soc., 14 (1967), p. 930.

    Google Scholar 

  5. S. B. Nadler, Jr., "Multi-valued contraction mappings," Pacific J. of Math., 30 (1969), pp. 475–487.

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1970 Springer-Verleg

About this paper

Cite this paper

Nadler, S.B. (1970). Some results on multi-valued contraction mappings. 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/BFb0069723

Download citation

  • DOI: https://doi.org/10.1007/BFb0069723

  • 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