Hukuhara’s differentiable iteration semigroups of Jensen set-valued functions. (English) Zbl 1132.39018
Summary: Let \(K\) be a closed convex cone with nonempty interior in a real Banach space. A necessary and sufficient condition is given under which a family \(\{F^t:t\geq 0\}\) of set-valued functions \(F^t:K\to cc(K)\) is a differentiable iteration semigroup of continuous Jensen set-valued functions.
MSC:
| 39B12 | Iteration theory, iterative and composite equations |
| 39B52 | Functional equations for functions with more general domains and/or ranges |
| 28B20 | Set-valued set functions and measures; integration of set-valued functions; measurable selections |
