On the stability of the linear functional equation in a single variable on complete metric groups

Soon-Mo Jung (), Dorian Popa () and Michael Rassias ()

Journal of Global Optimization, 2014, vol. 59, issue 1, 165-171

Abstract: In this paper we obtain a result on Hyers–Ulam stability of the linear functional equation in a single variable $$f(\varphi (x))=g(x) \cdot f(x)$$ f ( φ ( x ) ) = g ( x ) · f ( x ) on a complete metric group. Copyright Springer Science+Business Media New York 2014

Keywords: Optimization; Stability; Functional equation; Complete metric group; Inequalities; Banach spaces; Operator mapping; Euler–Mascheroni constant; 33B15; 11B34; 41A30; 39B22 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10898-013-0083-9

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