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Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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This paper develops a condition for stability of the solution set of a system of nonlinear inequalities over a closed convex set in a Banach space, when the functions defining the inequalities are subjected to small perturbations. The condition involves the linearization of the system about a point it is shown to be sufficient and, under weak additional hypotheses, also necessary for stability. Quantitative estimates for the changes in the solution set are obtained. Author
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