Abstract
Abstract Using the fixed point method, we investigate the Hyers-Ulam stability of the system of additive-cubic-quartic functional equations with constant coefficients in non-Archimedean 2-normed spaces. Also, we give an example to show that some results in the stability of functional equations in (Archimedean) normed spaces are not valid in non-Archimedean normed spaces. MSC:39B82, 46S10, 39B52, 47S10, 47H10.
Highlights
Gähler [, ] has introduced the concept of linear -normed spaces
We investigate the Hyers-Ulam stability for the system of the additivecubic-quartic functional equations
2 Approximation of octic mappings we investigate the Hyers-Ulam stability problem for the system ( . ) in non-Archimedean -Banach spaces
Summary
Fixed points and approximately octic mappings in non-Archimedean 2-normed spaces. Choonkil Park[1], Madjid Eshaghi Gordji2*, Mohammad Bagher Ghaemi[3] and Hamid Majani[3].
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