Stephen M. Robinson
Abstract
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The inverse-function theorem is generalized to multivalued functions of the form $f(x) + K$, where $f$ is a differentiable single-valued function and $K$ is a nonempty closed convex cone. An application to Pareto optimization is given.
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The inverse-function theorem is generalized to multivalued functions of the form $f(x) + K$, where $f$ is a differentiable single-valued function and $K$ is a nonempty closed convex cone. An application to Pareto optimization is given.
Key concepts: Differentiable function, Danskin's theorem, Mathematics, Inverse function theorem, Inverse, Inverse function, Convex function, Class (philosophy)