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Xu Wending

On set-valued perturbation stability of metric regularity

Published: 2019/12/30
  • Xu Wending
  • He Yiran
  • Categories Nonlinear Optimization

    Two stability results of the metric regularity under set-valued perturbation are established. As the perturbation is of addition type, the fi rst result assumes that the graph of the sum mapping is locally closed, the perturbation mapping is locally Lipschitz in the sense of Hausdor metric with the diameter of its image at the reference point … Read more

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    alternating direction method of multipliers approximation algorithms augmented lagrangian method bilevel optimization Branch-and-Bound branch-and-cut chance constraints column generation combinatorial optimization complexity compressed sensing conic optimization convex optimization cutting planes decomposition derivative-free optimization distributionally robust optimization duality dynamic programming first-order methods global convergence global optimization heuristics integer programming interior point methods large-scale optimization linear programming machine learning mixed-integer linear programming mixed-integer nonlinear programming mixed-integer programming nonconvex optimization nonlinear optimization nonlinear programming nonsmooth optimization optimal control optimization proximal point algorithm quadratic programming robust optimization semidefinite programming stochastic optimization stochastic programming trust-region methods unconstrained optimization

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