Skip to main content
SpringerLink
Log in

Hybrid fixed point result for lipschitz homomorphisms on quasi-Banach algebras

  • Published:
Analysis in Theory and Applications

Abstract

We shall generalize the results of [9] about characterization of isomorphisms on quasi-Banach algebras by providing integral type conditions. Also, we shall give some new results in this way and finally, give a result about hybrid fixed point of two homomorphisms on quasi-Banach algebras.

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. Almira, J. M. and Luther, U., Inverse Closedness of Approximation Algebras, J. Math. Anal. Appl., 314:1 (2006), 30–44.

    MATH  MathSciNet  Google Scholar 

  2. Benyamini, Y. and Lindenstrauss, J., Geometric Nonlinear Functional Analysis, Vol. 1, American Mathematical Society Colloquium Publications, 48, American Mathematical Society, Providence, RI, 2000.

    Google Scholar 

  3. Dhage, B. C., Hybrid Fixed Point Theory and Existence of Extremal Solutions for Perturbed Neutral Functional Differential Equations, Bull. Korean Math. Soc., 44:2 (2007), 315–330.

    Article  MATH  MathSciNet  Google Scholar 

  4. Dhage, B. C., Hybrid Fixed Point Theory for Strictly Monotone Increasing Multi-valued Mappings with Applications, Comput. Math. Appl., 53:5 (2007), 803–824.

    Article  MATH  MathSciNet  Google Scholar 

  5. Dhage, B. C., A General Multi-valued Hybrid Fixed Point Theorem and Perturbed Differential Inclusions, Nonlinear Anal., 64:12 (2006), 2747–2772.

    Article  MATH  MathSciNet  Google Scholar 

  6. Dhage, B. C. and Kalia, R. N., A Hybrid Fixed Point Theorem in Banach Algebras with Applications, Comm. Appl. Nonlinear Anal., 13:1 (2006), 71–84.

    MATH  MathSciNet  Google Scholar 

  7. Hyers, D. H., On the Stability of the Linear Functional Equation, Proc. Nat. Acad. Sci. U.S.A., 27 (1941), 222–224.

    Article  MathSciNet  Google Scholar 

  8. Park, C., Cho, Y. and Han, M., Functional Inequalities Associated with Jordan-Von Neumann type Additive Functional Equations, J. Inequal. Appl. 2007, Article ID 41820 (2007), 13 Pages.

  9. Park, C. and Jung Su AN, Isomorphisms in Quasi-Banach Aalgebras, Bull. Korean Math. Soc. 45:1 (2008), 111–118.

    Article  MATH  MathSciNet  Google Scholar 

  10. Rassias, Th. M., On the Stability of the Linear Mapping in Banach Spaces, Proc. Amer. Math. Soc., 72:2 (1978), 297–300.

    Article  MATH  MathSciNet  Google Scholar 

  11. Rolewicz, S., Metric Linear Space, Second Edition, PWN-Polish Scientific Publishers, Warsaw, D.Reidel Publishing Co., Dordrecht, 1984.

    Google Scholar 

  12. Ulam, S. M., Problems in Modern Mathematics, Second edition, John Wiely & Sons Inc., New York, 1964.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Azarbaidjan University of Tarbiat Moallem, Azarshahr, Tabriz, Iran

    Sh. Rezapour & M. Derafshpour

Authors
  1. Sh. Rezapour
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Derafshpour
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sh. Rezapour.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rezapour, S., Derafshpour, M. Hybrid fixed point result for lipschitz homomorphisms on quasi-Banach algebras. Anal. Theory Appl. 27, 109–116 (2011). https://doi.org/10.1007/s10496-011-0109-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10496-011-0109-4

Key words

AMS (2010) subject classification

Search

Navigation