Approximate Cubic Lie Derivations on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>ρ</mml:mi></mml:mrow></mml:math>-Complete Convex Modular Algebras

Kim, Hark-Mahn; Shin, Hwan-Yong

doi:10.1155/2018/3613178

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

2020

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…for all x ∈ X. A number of mathematicians were attracted to this result and stimulated to investigate the stability problems of various(functional, differential, difference, integral) equations in some spaces [4][5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

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

Kim

Shin

2020

Mathematics

Self Cite

View full text Add to dashboard Cite

In this paper, we find the solution of the following quadratic functional equation n∑1≤i<j≤nQxi−xj=∑i=1nQ∑j≠ixj−(n−1)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.

show abstract