Abstract
For maps φ on hyperspaces the existence of semifixed sets, i.e., of sets A satisfying one of the relations A ⊂ φ(A), A ⊃ φ(A), A ∩ φ(A) ≠ ∅, is considered. An application to set differential equations is also presented.
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de Blasi, F.S. Semifixed Sets of Maps in Hyperspaces with Application to Set Differential Equations. Set-Valued Anal 14, 263–272 (2006). https://doi.org/10.1007/s11228-005-0011-3
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DOI: https://doi.org/10.1007/s11228-005-0011-3
Key words
- hyperspace
- compact convex set
- multifunction
- semifixed set
- Hukuhara's derivative
- set differential equation