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Nonsmooth multiobjective programming. (English) Zbl 0645.90076
Necessary Lagrangian conditions are obtained for a weak minimum of a nonsmooth constrained multiobjective programming problem, assuming Lipschitz functions and general cone constraints. This generalizes a result of F. Clarke. A vector dual problem is deduced.
Reviewer: B.D.Craven

MSC:
90C31 Sensitivity, stability, parametric optimization
90C30 Nonlinear programming
49N15 Duality theory (optimization)
49M37 Numerical methods based on nonlinear programming
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References:
[1] Clarke F. H., Optimization and Nonsmooth Analysis (1983) · Zbl 0582.49001
[2] Craven B. D., Mathematical Programming and Control Theory (1978) · Zbl 0431.90039
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[8] Robinson S. M., SIAM J. Numerical Analysis 13 pp 497– (1976) · Zbl 0347.90050
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