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Open AccessArticle

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

by and *,†
Department of Mathematics, Chungnam National University, 99 Daehangno, Yuseong-gu, Daejeon 34134, Korea
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(9), 1630; https://doi.org/10.3390/math8091630
Received: 28 August 2020 / Revised: 11 September 2020 / Accepted: 17 September 2020 / Published: 21 September 2020
(This article belongs to the Special Issue New Trends in Analysis and Geometry)
In this paper, we find the solution of the following quadratic functional equation n1i<jnQxixj=i=1nQjixj(n1)xi, which is derived from the gravity of the n distinct vectors x1,,xn 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. View Full-Text
Keywords: fuzzy modular ∗-algebras; modular ∗-algebras; ?-quadratic derivation; Δ2-condition; β-homogeneous property fuzzy modular ∗-algebras; modular ∗-algebras; ?-quadratic derivation; Δ2-condition; β-homogeneous property
MDPI and ACS Style

Kim, H.-M.; Shin, H.-Y. Ulam Type Stability of ?-Quadratic Mappings in Fuzzy Modular ∗-Algebras. Mathematics 2020, 8, 1630. https://doi.org/10.3390/math8091630

AMA Style

Kim H-M, Shin H-Y. Ulam Type Stability of ?-Quadratic Mappings in Fuzzy Modular ∗-Algebras. Mathematics. 2020; 8(9):1630. https://doi.org/10.3390/math8091630

Chicago/Turabian Style

Kim, Hark-Mahn; Shin, Hwan-Yong. 2020. "Ulam Type Stability of ?-Quadratic Mappings in Fuzzy Modular ∗-Algebras" Mathematics 8, no. 9: 1630. https://doi.org/10.3390/math8091630

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