An Inverse-Function Theorem for a Class of Multivalued Functions.

Abstract

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. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1972
Accession Number
AD0755070

Entities

People

  • Stephen M. Robinson

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Algebra
  • Mathematical Analysis
  • Mathematics
  • Optimization
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Operations Research