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In this paper, we examine the properly twice epi-differentiability and compute the second order epi-subderivative of the indicator function to a class of sets including the finite union of parabolically… Click to show full abstract
In this paper, we examine the properly twice epi-differentiability and compute the second order epi-subderivative of the indicator function to a class of sets including the finite union of parabolically derivable and parabolically regular sets. In this way, we provide no-gap second order optimality conditions for a disjunctive constrained problem. Moreover, we derive applications of our results to some types of disjunctive programs.
Keywords:
order;
second order;
order variational;
analysis disjunctive;
disjunctive constraint;
variational analysis
Journal Title: Optimization Letters
Year Published: 2021
Link to full text (if available)
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Journal Title: Optimization Letters
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!