Hom-Derivations in Lie Banach Algebras

Siriluk Donganont (), Choonkil Park () and Michael Th. Rassias ()
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Siriluk Donganont: University of Phayao, School of Science
Choonkil Park: Hanyang University, Department of Mathematics
Michael Th. Rassias: Hellenic Military Academy, Department of Mathematics and Engineering Sciences

Chapter 8 in Convex and Variational Analysis with Applications, 2026, pp 145-160 from Springer

Abstract: Abstract In this paper, we introduce and solve the following additive s-functional inequality 8.1 $$\begin{aligned} \left\| f\left( x+y\right) +f(x-y)- 2f(x )\right\| \le \Vert s (f(x+y)-f(x)-f(y))\Vert , \end{aligned}$$ f x + y + f ( x - y ) - 2 f ( x ) ≤ ‖ s ( f ( x + y ) - f ( x ) - f ( y ) ) ‖ , where s is a fixed nonzero complex number with $$|s|

Date: 2026
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DOI: 10.1007/978-3-032-07860-5_8

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