Jaeyoo Choy, Hahng-Yun Chu, Ahyoung Kim
Abstract
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In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers–Ulam stabilities of the cubic functional equation and the quartic functional equation for f in n-Banach spaces.
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In this article, we deal with stabilities of several functional equations in n-Banach spaces. For a surjective mapping f into a n-Banach space, we prove the generalized Hyers–Ulam stabilities of the cubic functional equation and the quartic functional equation for f in n-Banach spaces.
Key concepts: Banach space, Mathematics, Surjective function, Pure mathematics, Eberlein–Šmulian theorem, Interpolation space, Banach manifold, Lp space