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  • Bài báo/Newspaper

  • Second-order optimality conditions in multiobjective optimization problems

    • Authors: B. Aghezzaf (1999)

  • In this paper, we develop second-order necessary and sufficient optimality conditions for multiobjective optimization problems with both equality and inequality constraints. First, we generalize the Lin fundamental theorem (Ref. 1) to second-order tangent sets; then, based on the above generalized theorem, we derive second-order neces sary and sufficient conditions for efficiency.
  • Bài báo/Newspaper

  • Nonsmooth calculus, minimality, and monotonicity of convexificators

    • Authors: V. Jeyakumar (1999)

  • Noncompact convexificators, which provide upper convex and lower concave approximations for a continuous function, are defined. Various calculus rules, including extremality and mean-value properties, are presented. Regularity conditions are given for convexi ficators to be minimal. A characterization of quasiconvexity of a con tinuous function is obtained in terms of the quasimonotonicity of convexificators.