Monday, 15:15 - 15:40 h, Room: H 2035

 

Xiaoqi Yang
Optimality conditions via exact penalty functions

Coauthor: Kaiwen Meng

 

Abstract:
In this presentation, we study KKT optimality conditions for constrained nonlinear programming problems and strong and Mordukhovich stationarities for mathematical programs with complementarity constraints using lp penalty functions with 0 ≤ p ≤ 1. We introduce some optimality indication sets by using contingent derivatives of penalty function terms. Some characterizations of optimality indication sets by virtue of the original problem data are obtained. We show that KKT optimality condition holds at a feasible point if this point is a local minimizer of some lp penalty function with p belonging to the optimality indication set.
Our result on constrained nonlinear programming includes some existing ones in the literature as special cases.

 

Talk 1 of the invited session Mon.3.H 2035
"Lower order exact penalty functions" [...]
Cluster 24
"Variational analysis" [...]

 

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