Ulam Type Stability of ?-Quadratic Mappings in Fuzzy Modular ?-Algebras

Hark-Mahn Kim and Hwan-Yong Shin
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Hark-Mahn Kim: Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Korea
Hwan-Yong Shin: Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Korea

Mathematics, 2020, vol. 8, issue 9, 1-13

Abstract: In this paper, we find the solution of the following quadratic functional equation n ∑ 1 ≤ i < j ≤ n Q x i − x j = ∑ i = 1 n Q ∑ j ≠ i x j − ( n − 1 ) x i , which is derived from the gravity of the n distinct vectors x 1 , ? , x n in an inner product space, and prove that the stability results of the A -quadratic mappings in μ -complete convex fuzzy modular ∗-algebras without using lower semicontinuity and β -homogeneous property.

Keywords: fuzzy modular ?-algebras; modular ?-algebras; ?-quadratic derivation; ? 2 -condition; ? -homogeneous property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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