Fixed Points and Stability of Functional Equations

Choonkil Park () and Themistocles M. Rassias ()
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Choonkil Park: Hanyang University
Themistocles M. Rassias: National Technical University of Athens, Zografou Campus

Chapter Chapter 11 in Nonlinear Analysis and Variational Problems, 2010, pp 125-134 from Springer

Abstract: Abstract Using the fixed point method, we prove the generalized Hyers–Ulam stability of the functional equation $$f(x+y) + \frac{1}{2}f(x-y) + \frac{1}{2}f(y-x) = \frac{3}{2}f(x) + \frac{3}{2}f(y) +\frac{1}{2}f(-x) +\frac{1}{2} f(-y)$$ in real Banach spaces.

Keywords: Functional Equation; Real Banach Space; Point Approach; Aequationes Math; Ulam Stability (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-0158-3_11

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DOI: 10.1007/978-1-4419-0158-3_11

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