A Fixed Point Approach to Stability of the Quadratic Equation

M. Almahalebi (), A. Charifi (), S. Kabbaj () and E. Elqorachi ()
Additional contact information
M. Almahalebi: University of Ibn Tofail
A. Charifi: University of Ibn Tofail
S. Kabbaj: University of Ibn Tofail
E. Elqorachi: University Ibn Zohr

A chapter in Topics in Mathematical Analysis and Applications, 2014, pp 53-77 from Springer

Abstract: Abstract In this paper, by using the fixed point method in Banach spaces, we prove the Hyers–Ulam–Rassias stability for the quadratic functional equation f ∑ i = 1 m x i = ∑ i = 1 m f ( x i ) + 1 2 ∑ 1 ≤ i

Keywords: Hyers-Ulam-Rassias stability; fixed point alternative theorem; quadratic functional equation; quadratic mapping (search for similar items in EconPapers)
Date: 2014
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-319-06554-0_3

Ordering information: This item can be ordered from
http://www.springer.com/9783319065540

DOI: 10.1007/978-3-319-06554-0_3

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().