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http://dx.doi.org/10.14317/jami.2016.509

STABILITY OF DRYGAS TYPE FUNCTIONAL EQUATIONS WITH INVOLUTION IN NON-ARCHIMEDEAN BANACH SPACES BY FIXED POINT METHOD  

KIM, CHANG IL (Department of Mathematics Education, Dankook University)
HAN, GIL JUN (Department of Mathematics Education, Dankook University)
Publication Information
Journal of applied mathematics & informatics / v.34, no.5_6, 2016 , pp. 509-517 More about this Journal
Abstract
In this paper, we consider the following functional equation with involution f(x + y) + f(x + σ(y)) = 2f(x) + f(y) + f(σ(y)) and prove the generalized Hyers-Ulam stability for it when the target space is a non-Archimedean Banach space.
Keywords
Generalized Hyers-Ulam stability; Fixed point theorem; Non-Archimedean space;
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