In this paper, we investigate the uniform convergence of continuous linear set-valued functions on compact sets. We also consider conditions under which the family of continuous linear extensions of a differential iteration semigroup of continuous linear set-valued functions is a differentiable iteration semigroup. In particular, since the cones and normed spaces are not supposed to be complete our main results generalize some recent results on Hukuhara’s derivative of set-valued functions.
Hukuhara’s derivative Iterations Linear set-valued functions Cauchy problem for a set-valued differential equation Riemann integral for set-valued functions
Mathematics Subject Classification
Primary 46G05 Secondary 39B12 54C60
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