Local Epi-Continuity and Local Optimization.

Abstract

One of the fundamental questions in nonlinear optimization is how optimization problems behave when the functions defining them changed(Le.g., by continuous deformation). Recently the study of epi-continuity has somewhat unified the results in this area. Here we show how to localize the concept of epi-continuity, and how to apply these localized ideas to ensure persistence and stability of local optimizing sets. We also show how these conditions follow from known properties of nonlinear programming problems. Keywords; Nonlinear programming; Stability; Epi-continuity; Epi-convergence; Local optimizers.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA154812

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People

  • Stephen M. Robinson

Organizations

  • University of Wisconsin–Madison

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  • Boundaries
  • Computer Programming
  • Continuity
  • Contracts
  • Convergence
  • Convex Sets
  • Hypotheses
  • Mathematics
  • Nonlinear Programming
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  • Optimization
  • Statistics
  • Systems Analysis
  • Theorems
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  • Wisconsin

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