Second-Order Conditions for Optimization Problems with Constraints

  • Authors:
  • Jean-Paul Penot

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Control and Optimization
  • Year:
  • 1999

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Abstract

Using a projective approach, new necessary conditions and new sufficient conditions for optimization problems with explicit or implicit constraints are examined. They are compared to previous ones. A particular emphasis is given to mathematical programming problems with non-polyhedral constraints. This case occurs in particular when the constraints are defined in functional spaces.