Abstract
We provide a fixed point theorem in uniformizable spaces, extending former results of G. L. Forti, and of J. Brzdek.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bahyrycz, A., Olko, J.: On stability of the general linear equation. Aequationes Math. 89, 1461–1474 (2015)
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
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)
Brzdek, J., Chudziak, J., Páles, Z.: A fixed point approach to stability of functional equations. Nonlinear Anal. 74, 6728–6732 (2011)
Brzdek, J., Cǎdariu, L., Ciepliński, K.: Fixed point theory and the Ulam stability. J. Funct. Spaces 2014, 16 (2014). Art. ID 829419
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
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)
Zhang, D.: On Hyperstability of generalized linear equations in several variables. Bull. Aust. Math. Soc. 92, 259–267 (2015)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
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
DOI: https://doi.org/10.1007/978-3-030-28972-0_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-28971-3
Online ISBN: 978-3-030-28972-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)