Skip to main content

Locally nonexpansive mappings in Banach spaces

  • Conference paper
  • First Online:
Fixed Point Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 886))

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. BROWDER, F. E.: Nonlinear mappings of nonexpansive and accretive type in Banach spaces, Bull. Amer. Math. Soc. 73 (1967), 875–881.

    Article  MathSciNet  MATH  Google Scholar 

  2. BROWDER, F. E.: Semicontractive and semiaccretive nonlinear mappings in Banach spaces, Bull. Amer. Math. Soc. 74 (1968), 660–665.

    Article  MathSciNet  MATH  Google Scholar 

  3. BROWDER, F.E.: Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proc. Symp. Pure Math. 18, pt. 2, Amer. Math. Soc., Providence, R.I., (1976).

    Book  MATH  Google Scholar 

  4. BRUCK, R. E.: A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces, Israel J. Math., 32 (1979), 107–116.

    Article  MathSciNet  MATH  Google Scholar 

  5. DEIMLING, K.: Zeros of accretive operators, Manuscripta Math., 13 (1974), 365–374.

    Article  MathSciNet  MATH  Google Scholar 

  6. EDELSTEIN, M.: On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962), 74–79.

    Article  MathSciNet  MATH  Google Scholar 

  7. GÖHDE, D.: Zum prinzip der kontraktiven Abbildung, Math. Nachr. 30 (1965), 251–258.

    Article  MathSciNet  MATH  Google Scholar 

  8. ISHIKAWA, S.: Fixed points and iteration of nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc., 59 (1976), 65–71.

    Article  MathSciNet  MATH  Google Scholar 

  9. KANTOROVICH, L. V. and AKILOV, G. P.: Functional Analysis in Normed Spaces, Macmillan Co., N.Y., (1964).

    MATH  Google Scholar 

  10. KATO, T.: Nonlinear semigroups and evolution equations, J. Math. Soc. Japan 19 (1967), 508–520.

    Article  MathSciNet  MATH  Google Scholar 

  11. KIRK, W. A.: On zeros of accretive operators in uniformly convex spaces, Bollettino Un. Mat. Ital. (5), 17-A (1980), 249–253.

    MathSciNet  MATH  Google Scholar 

  12. KIRK, W. A.: A fixed point theorem for local pseudo-contractions in uniformly convex spaces, Manuscripta Math., 30 (1979), 89–102.

    Article  MathSciNet  MATH  Google Scholar 

  13. KIRK, W. A. and MORALES, C.: Fixed point theorems for local strong pseudocontractions, Nonlinear Analysis: Theory, Methods & Applications 4 (1980), 363–368.

    Article  MathSciNet  MATH  Google Scholar 

  14. KIRK, W.A., and MORALES, C.: On the approximation of fixed points of locally

    Google Scholar 

  15. KIRK, W. A. and SCHÖNEBERG, R.: Mapping theorems for local expansions in metric and Banach spaces, J. Math. Anal. Appl. 71 (1979), 114–121.

    Article  MathSciNet  MATH  Google Scholar 

  16. MARTIN, R. H., Jr.: Differential equations on closed subsets of a Banach space, Trans. Amer Math. Soc. 179 (1973), 399–414.

    Article  MathSciNet  MATH  Google Scholar 

  17. MENGER, K.: Untersuchungen über allgemeine Metrik, Math. Ann. 100 (1928), 75–163.

    Article  MathSciNet  MATH  Google Scholar 

  18. MORALES, C.: On the fixed point theory for local k-pseudo-contractions, Proc. Amer. Math. Soc. 81 (1981), 71–74. *** DIRECT SUPPORT *** A00J4360 00007

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Edward Fadell Gilles Fournier

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Kirk, W.A. (1981). Locally nonexpansive mappings in Banach spaces. In: Fadell, E., Fournier, G. (eds) Fixed Point Theory. Lecture Notes in Mathematics, vol 886. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092184

Download citation

  • DOI: https://doi.org/10.1007/BFb0092184

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11152-8

  • Online ISBN: 978-3-540-38600-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics