Abstract
We study the set-valued Cauchy equation postulated for orthogonal vectors. We give its general solution as well as we look for selections of functions satisfying the equation.
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Sikorska, J. Set-valued Orthogonal Additivity. Set-Valued Var. Anal 23, 547–557 (2015). https://doi.org/10.1007/s11228-015-0321-z
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DOI: https://doi.org/10.1007/s11228-015-0321-z
Keywords
- Orthogonally additive equation
- Quadratic equation
- Selection
- Set-valued function
- Hukuhara difference
- Hausdorff distance