A fuzzy necessary optimality condition for non-Lipschitz optimization in Asplund spaces
https://doi.org/10.1137/S1052623400366656Publisher, magazine: ,
Publication year: 2002
Lưu Trích dẫn Chia sẻAbstract
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.
Tags: constrained optimization problem; necessary optimality condition; fuzzy calculus; Fréchet subdifferential; normal cone; optimality condition; Asplund spaces
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