On a general Hyers-Ulam stability result.
Borelli, Costanza, Forti, Gian Luigi (1995)
International Journal of Mathematics and Mathematical Sciences
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Borelli, Costanza, Forti, Gian Luigi (1995)
International Journal of Mathematics and Mathematical Sciences
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Cădariu, Liviu, Radu, Viorel (2008)
Fixed Point Theory and Applications [electronic only]
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Miheţ, Dorel (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Kim, Gwang Hui, Xu, Bing, Zhang, Weinian (2002)
International Journal of Mathematics and Mathematical Sciences
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Zenon Moszner (2016)
Annales Mathematicae Silesianae
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In the paper two types of stability and of b-stability of functional equations are distinguished.
Jung, Soon-Mo, Rassias, John Michael (2008)
Fixed Point Theory and Applications [electronic only]
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Youssef Aribou, Hajira Dimou, Abdellatif Chahbi, Samir Kabbaj (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation [...] where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.
Erwin Turdza (1970)
Annales Polonici Mathematici
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Miura, Takeshi, Hirasawa, Go, Takahasi, Sin-Ei (2004)
International Journal of Mathematics and Mathematical Sciences
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Costanza Borelli (1997)
Aequationes mathematicae
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Jung, Soon-Mo, Min, Seungwook (2009)
Fixed Point Theory and Applications [electronic only]
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Jung, Soon-Mo (2009)
Journal of Inequalities and Applications [electronic only]
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Cǎdariu, Liviu, Radu, Viorel (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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