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an additive (u, β)-functional equation and linear mappings in banach modules
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نویسنده
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paokanta siriluk ,park choonkil ,lee jung rye
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 2 - صفحه:1747 -1755
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چکیده
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Let a be a unital c∗-algebra. in this paper, we investigate the additive (u, β)-functional equation f(x) + u∗ f(uy) + f(z) = β^−1 f(β(x + y + z)) (0.1) for all unitary elements u in a and for a fixed nonzero complex number β. using the fixed point method and the direct method, we prove the hyers-ulam stability of the additive (u, β)-functional equation (0.1) in banach modules.
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کلیدواژه
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hyers-ulam stability ,additive (u ,β)-functional equation ,a-linear mapping ,fixed point method ,directmethod ,banach module
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آدرس
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hanyang university, department of mathematics, korea, hanyang university, research institute for natural sciences, korea, daejin university, department of data science, korea
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پست الکترونیکی
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jrlee@daejin.ac.kr
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Authors
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