Skip to main content
SpringerLink
Log in

Two Applications of a Generalization of an Asymptotic Fixed Point Theorem

  • Published:
Order Aims and scope Submit manuscript

Abstract

We present a variant of an asymptotic version of the Abian-Brown Fixed Point Theorem, and applications to recursively defined sequences and Hammerstein integral equations.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Abian, S., Brown, A.B.: A theorem on partially ordered sets, with applications to fixed point theorems. Can. J. Math. 13, 78–82 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  2. Baranyai, T.: Asymptotical variants of some fixed point theorems in ordered sets. Studia Univ. Babeş-Bolyai Math. 48, 9–11 (2003)

    MathSciNet  MATH  Google Scholar 

  3. Granas, A., Dugundji, J.: Fixed Point Theory. Springer Monographs in Mathematics. Springer, New York (2003)

    Book  MATH  Google Scholar 

  4. Heikkilä, S.: On fixed points through a generalized iteration method with applications to differential and integral equations involving discontinuities. Nonlinear Anal. Theory Methods Appl. 14, 413–426 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  5. Lemmert, R.: Existenzsätze für gewöhnliche Differentialgleichungen in geordneten Banachräumen. Funkc. Ekvacioj, Ser. Int. 32, 243–249 (1989)

    MATH  Google Scholar 

  6. Schröder, B.S.W.: Ordered Sets. Birkhäuser Boston, Inc., Boston (2003)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Analysis, Karlsruhe Institute of Technology (KIT), D-76128, Karlsruhe, Germany

    Gerd Herzog & Peer Chr. Kunstmann

Authors
  1. Gerd Herzog
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Peer Chr. Kunstmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Peer Chr. Kunstmann.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Herzog, G., Kunstmann, P.C. Two Applications of a Generalization of an Asymptotic Fixed Point Theorem. Order 34, 323–326 (2017). https://doi.org/10.1007/s11083-016-9402-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11083-016-9402-3

Keywords

Search

Navigation