A Cone-Continuity Constraint Qualification and Algorithmic Consequences

@article{Andreani2016ACC,
  title={A Cone-Continuity Constraint Qualification and Algorithmic Consequences},
  author={Roberto Andreani and Jos{\'e} Mario Mart{\'i}nez and Alberto Ramos and Paulo J. S. Silva},
  journal={SIAM Journal on Optimization},
  year={2016},
  volume={26},
  pages={96-110}
}
Every local minimizer of a smooth constrained optimization problem satisfies the sequential Approximate Karush-Kuhn-Tucker (AKKT) condition. This optimality condition is used to define the stopping criteria of many practical nonlinear programming algorithms. It is natural to ask for conditions on the constraints under which AKKT implies KKT. These conditions will be called Strict Constraint Qualifications (SCQ). In this paper we define a Cone-Continuity Property (CCP) that will be showed to be… CONTINUE READING
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