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APPROXIMATION OF CAUCHY ADDITIVE MAPPINGS
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 Title & Authors
APPROXIMATION OF CAUCHY ADDITIVE MAPPINGS
Roh, Jai-Ok; Shin, Hui-Joung;
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 Abstract
In this paper, we prove that a function satisfying the following inequality for all x, y, z X and for , is Cauchy additive. Moreover, we will investigate for the stability in Banach spaces.
 Keywords
Hyers-Ulam stability;Cauchy additive mapping;Jordan-von Neumann type Cauchy Jensen functional equation;
 Language
English
 Cited by
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대한수학회보, 2010. vol.47. 1, pp.195-209 crossref(new window)
1.
Functional Inequalities Associated with Additive Mappings, Abstract and Applied Analysis, 2008, 2008, 1  crossref(new windwow)
2.
CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A COMPLEX SPACE FORM, Bulletin of the Korean Mathematical Society, 2010, 47, 1, 1  crossref(new windwow)
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A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation, Fixed Point Theory and Applications, 2009, 2009, 1, 918785  crossref(new windwow)
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APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS, Bulletin of the Korean Mathematical Society, 2010, 47, 1, 195  crossref(new windwow)
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