Stability Results for Some Functional Equations on 2-Banach Spaces With Restricted Domains
We have a normed abelian group G,.∗,+ and a 2-pre-Hilbert space Y with linearly independent elements u and v. Our goal is to prove that any odd map f:G⟶Y satisfying the inequality fx+fy,z⩽fx+y,z,z∈u,v, for all x,y∈G with x∗+y∗≥d and some d≥0, is additive. Then, we examined the stability issue correl...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/8405645 |
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