6533b7d1fe1ef96bd125c173

RESEARCH PRODUCT

Regularity and strong sufficient optimality conditions in differentiable optimization problems

Abderrahim Jourani

subject

Mathematical optimizationControl and OptimizationOptimization problemMultivalued functionFeasible regionStability (learning theory)Banach spaceTangentComputer Science ApplicationsSignal ProcessingMetric (mathematics)Differentiable functionAnalysisMathematics

description

This paper studies the metric regularity of multivalued functions on Banach spaces, tangential approximations of the feasible set and strong sufficient optimality conditions of a parametrized optimization problem minimize The results are applied to the tangent approximations and the local stability properties of solutions of this perturbed optimization problem.

https://doi.org/10.1080/01630569308816508