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Solution to Kim-Rassias's question on stability of generalized Euler-Lagrange quadratic functional equations in quasi-Banach spaces
Authors:Nguyen van Dung  Vo Thi Le Hang
Institution:1. Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam;2. Faculty of Mathematics Teacher Education, Dong Thap University, Dong Thap Province, Vietnam
Abstract:By using Aoki-Rolewicz Theorem on p-normalizing a quasi-normed space, we prove stability results for Euler-Lagrange quadratic functional equations in quasi-Banach spaces. These results improve stability results and give the answer to Kim-Rassias's question.
Keywords:Euler-Lagrange quadratic functional equation  quasi-Banach space  stability
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