| On the Stability of Orthogonal Additivity in $\beta$-Homogeneous $F$-Spaces |
| Received:March 27, 2021 Revised:January 11, 2022 |
| Key Words:
Hyers-Ulam stability $\beta$-homogeneous $F$-spaces quasi-Banach spaces orthogonal additivity
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11971493; 12071491) and the Fundamental Research Funds for the Central Universities (Grant No.2021qntd21). |
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| Abstract: |
| In this paper, we study the stability of the orthogonal equation, which is closely related to the results by W. Fechner and J. Sikorska in 2010. There are some differences that we consider the target space with the $\beta$-homogeneous norm and quasi-norm. Overcoming the $\beta$-homogeneous norm and quasi-norm bottlenecks, we get some new results. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.03.007 |
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