A Fuzzy Necessary Optimality Condition for Non-Lipschitz Optimization in Asplund Spaces
Copyright policy )A Fuzzy Necessary Optimality Condition for Non-Lipschitz Optimization in Asplund Spaces
Summary: We consider a general optimization problem in the broad class of Asplund spaces. We derive a new necessary optimality condition in the so-called Lagrangian ``fuzzy form'' without standard Lipschitz conditions. We also give a chain rule for Fréchet subdifferentials and subdifferential representations of Fréchet normals to constrained sets.
- French National Centre for Scientific Research France
- University of Limoges France
- UNIVERSITE DE LIMOGES France
Nonlinear programming, normal cone, optimality condition, Asplund spaces, Nonsmooth analysis, Fréchet subdifferential, constrained optimization problem, necessary optimality condition, fuzzy calculus, Optimality conditions for problems in abstract spaces
Nonlinear programming, normal cone, optimality condition, Asplund spaces, Nonsmooth analysis, Fréchet subdifferential, constrained optimization problem, necessary optimality condition, fuzzy calculus, Optimality conditions for problems in abstract spaces
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