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Local epi-continuity and local optimization. (English) Zbl 0623.90078
The theory of epi-convergence has unified many of the approaches and results in stability analysis. This paper shows how to localize certain results found in this area, and how to use these localized results to develop useful criteria for persistence and stability of local minimizers. These criteria are implied by assumptions commonly used in optimization, such as constraint qualifications and second-order sufficient conditions.
Reviewer: M.Ying

90C31 Sensitivity, stability, parametric optimization
90C30 Nonlinear programming
49M37 Numerical methods based on nonlinear programming
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