A Fuzzy Necessary Optimality Condition for Non-Lipschitz Optimization in Asplund Spaces
Huynh Van Ngai, Michel A. Théra · SIAM Journal on Optimization · 2002
In this paper, 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.