On the Stability of an Additive Mapping
2012In this work, the Hyers–Ulam stability of the functional equation f(x+y+xy)=f(x+y)+f(xy) is proved.
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Additivity of Jordan | ast-Maps on AW ∗ -Algebras
Proceedings of the American Mathematical Society, 1986Let M and N be \(AW^*\)-algebras and let \(\phi\) :M\(\to N\) be a bijective map satisfying \(\phi (xy+yx)=\phi (x)\phi (y)+\phi (y)\phi (x)\) and \(\phi (x^*)=\phi (x)^*\) for all x,y\(\in M\). Problem: Is \(\phi\) additive? Theorem. Suppose that M has no abelian direct summand and that \(\phi\) is uniformly continuous on each abelian \(C ...
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On the additive decomposition for polynomic maps
IEEE Transactions on Automatic Control, 1983Under certain conditions, a linear operator on a Hilbert resolution space can be decomposed into a causal part and an anti causal part. This decomposition plays an important role in the solution of the linear least squares control problem. This theory has been partially generalized to classes of nonlinear problems.
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Approximate Additive Mappings of Derivation-Type on Banach $$*$$-Algebras
Results in Mathematics, 2022Ick-Soon Chang +2 more
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A Characterization of Multi-Mixed Additive-Quadratic Mappings and a Fixed Point Application
Journal of Contemporary Mathematical Analysis, 2020Abasalt Bodaghi
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The images of orthogonally additive mappings from inner product spaces to groups
Aequationes Mathematicae, 2018Imke Toborg
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Approximate additive mappings in 2-Banach spaces and related topics
Journal of Mathematical Analysis and Applications, 2011Won-Gil Park
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A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings
Journal of Mathematical Analysis and Applications, 1994P Gãvruţã
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Additive mappings act as a generalized left $$(\alpha , \beta )$$ ( α , β ) -derivation in rings
Bolletino Dell Unione Matematica Italiana, 2018Faiza Shujat, Abu Zaid Ansari
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