Fixed points and partial multipliers in Banach algebras

Hwang, Inho; Park, Choonkil

doi:10.1007/s11784-019-0751-6

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Fixed points and partial multipliers in Banach algebras

Hwang, Inho;
Park, Choonkil

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초록

In this paper, we solve the additive functional inequalities where s is a fixed nonzero complex number with vertical bar s vertical bar < 1. Using the fixed point method, we prove the Hyers-Ulam stability of the additive functional inequalities (1) and (2) in complex Banach spaces. This is applied to investigate partial multipliers in Banach*-algebras, unital C*-algebras, Lie C*-algebras, JC*-algebras and C*-ternary algebras, associated with the additive functional inequalities (1) and (2).

키워드

Partial multiplier; fixed point method; C*-algebra; Hyers-Ulam stability; additive functional inequality; C*-ternary algebra; Lie C*-algebra; JC *-algebra; RHO-FUNCTIONAL INEQUALITIES; JC-ASTERISK-ALGEBRAS; RASSIAS STABILITY; HOMOMORPHISMS; EQUATION

제목: Fixed points and partial multipliers in Banach algebras

저자: Hwang, Inho; Park, Choonkil

DOI: 10.1007/s11784-019-0751-6

발행일: 2020-03

유형: Article

저널명: Journal of Fixed Point Theory and Applications

권: 22

호: 1

페이지: 1 ~ 23