N. Gadhi

Necessary Optimality Conditions for Lipschitz Multiobjective Optimization Problems

Abstract:
Optimality conditions are established in terms of Lagrange-Kuhn-Tucker multipliers for multiobjective optimization problems by a scalarization technique. Throughout this note, the data are assumed to be locally Lipschitz.

Keywords:
Necessary optimality conditions, multiobjective optimization, scalarization, mathematical programming.

MSC 2000: Primary: 90C29; Secondary: 49K99