Abstract
We will give a necessary and sufficient condition for the family {F t : t ≥ 0} of multifunctions \({F_t(x) = \sum_{i=0}^{\infty} \frac{t^i}{i!}G^i(x)}\), where G is a continuous and additive multifunction, to be an iteration semigroup.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Piszczek, M. On multivalued iteration semigroups. Aequat. Math. 81, 97–108 (2011). https://doi.org/10.1007/s00010-010-0034-1
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DOI: https://doi.org/10.1007/s00010-010-0034-1