Skip to main content

A Fixed Point Theorem in Uniformizable Spaces

  • Chapter
  • First Online:
Ulam Type Stability
  • 351 Accesses

Abstract

We provide a fixed point theorem in uniformizable spaces, extending former results of G. L. Forti, and of J. Brzdek.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Bahyrycz, A., Olko, J.: On stability of the general linear equation. Aequationes Math. 89, 1461–1474 (2015)

    Article  MathSciNet  Google Scholar 

  2. Brzdek, J.: On a method of proving the Hyers-Ulam stability of functional equations on restricted domains. Aust. J. Math. Anal. Appl. 6(1), 1–10 (2009). Article 4

    Google Scholar 

  3. Brzdek, J., Ciepliński, K.: A fixed point approach to the stability of functional equations in non-Archimedean metric spaces. Nonlinear Anal. 74, 6861–6867 (2011)

    Article  MathSciNet  Google Scholar 

  4. Brzdek, J., Chudziak, J., Páles, Z.: A fixed point approach to stability of functional equations. Nonlinear Anal. 74, 6728–6732 (2011)

    Article  MathSciNet  Google Scholar 

  5. Brzdek, J., Cǎdariu, L., Ciepliński, K.: Fixed point theory and the Ulam stability. J. Funct. Spaces 2014, 16 (2014). Art. ID 829419

    Google Scholar 

  6. Brzdek, J., Ciepliński, K., Leśniak, Z.: On Ulam’s type stability of the linear equation and related issues. Discret. Dyn. Nat. Soc. 2014, 14 (2014). Art. ID 536791

    Google Scholar 

  7. Forti, G.L.: Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations. J. Math. Anal. Appl. 295, 127–133 (2004)

    Article  MathSciNet  Google Scholar 

  8. Zhang, D.: On Hyperstability of generalized linear equations in several variables. Bull. Aust. Math. Soc. 92, 259–267 (2015)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lahbib Oubbi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Oubbi, L. (2019). A Fixed Point Theorem in Uniformizable Spaces. In: Brzdęk, J., Popa, D., Rassias, T. (eds) Ulam Type Stability . Springer, Cham. https://doi.org/10.1007/978-3-030-28972-0_14

Download citation

Publish with us

Policies and ethics