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math.OC2005
Set-valued differentiation as an operator
Serguei Samborski
We introduce real vector spaces composed of set-valued maps on an open set. They are also complete metric spaces, lattices, commutative rings. The set of differentiable functions i…
math.OC2003
On Linearity of Nonclassical Differentiation
Serguei Samborski
We introduce a real vector space composed of set-valued maps on an open set X and note it by S. It is a complete metric space and a complete lattice. The set of continuous function…