Stable Approximations of Set-Valued Maps
Abstract
A good descriptive model of a dynamical phenomenon has inherent stability of its solution, by that one means that small changes in data will result only in "small" changes in the solution. It is thus a criterion that can, and should, be used in the evaluation of dynamical models. This report, that develops approximation results for set-valued functions, provides stability criteria based on generalized derivatives. It also provides estimates for the region of stability.