Abstract
In the first part of the paper we collect and prove several properties of the Hausdorff metric and the Hukuhara difference. They are applied in the next part where a tool for solving several equations for set-valued functions is described.
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Sikorska, J. On a Method of Solving Some Functional Equations for Set-Valued Functions. Set-Valued Var. Anal 27, 295–304 (2019). https://doi.org/10.1007/s11228-017-0465-0
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DOI: https://doi.org/10.1007/s11228-017-0465-0
Keywords
- Set-valued function
- Hukuhara difference
- Hausdorff distance
- Additive function
- Quadratic function
- Drygas equation
- Orthogonally additive equation