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http://dx.doi.org/10.14403/jcms.2018.31.1.199

GENERAL SOLUTION AND ULAM-HYERS STABILITY OF VIGINTI FUNCTIONAL EQUATIONS IN MULTI-BANACH SPACES  

Murali, Ramdoss (Department of Mathematics Sacred Heart College)
Bodaghi, Abasalt (Department of Mathematics Garmsar Branch)
Raj, Aruldass Antony (Department of Mathematics Sacred Heart College)
Publication Information
Journal of the Chungcheong Mathematical Society / v.31, no.2, 2018 , pp. 199-230 More about this Journal
Abstract
In this paper, we introduce the general form of a viginti functional equation. Then, we find the general solution and study the generalized Ulam-Hyers stability of such functional equation in multi-Banach spaces by using fixed point technique. Also, we indicate an example for non-stability case regarding to this new functional equation.
Keywords
generalized Ulam-Hyers stability; multi-Banach spaces; viginti functional equation; fixed point;
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