STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES

Title & Authors
STABILITY OF AN ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES
Chung, Sang-Cho;

Abstract
In this paper, we prove the generalized Hyers-Ulam stability of the additive functional inequality $\small{{\parallel}f(x_1+x_2)+f(x_2+x_3)+{\cdots}+f(x_n+x_1){\parallel}{\leq}{\parallel}tf(x_1+x_2+{\cdots}+x_n){\parallel}}$ in Banach spaces where a positive integer $\small{n{\geq}3}$ and a real number t such that $\small{2{\leq}t}$ < n.
Keywords
additive functional inequality;Banach space;
Language
English
Cited by
References
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