Craven, B. D. Nonsmooth multiobjective programming. (English) Zbl 0645.90076 Numer. Funct. Anal. Optimization 10, No. 1-2, 49-64 (1989). 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 Cited in 39 Documents MSC: 90C31 Sensitivity, stability, parametric optimization 90C30 Nonlinear programming 49N15 Duality theory (optimization) 49M37 Numerical methods based on nonlinear programming Keywords:necessary Lagrangian conditions; weak minimum; nonsmooth constrained multiobjective programming; Lipschitz functions; general cone constraints; vector dual problem PDFBibTeX XMLCite \textit{B. D. Craven}, Numer. Funct. Anal. Optim. 10, No. 1--2, 49--64 (1989; Zbl 0645.90076) Full Text: DOI 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 · doi:10.1007/978-94-009-5796-1 [3] Craven B. D., Bull. Austral. Math. Soc. 16 pp 325– (1977) · Zbl 0362.90106 · doi:10.1017/S0004972700023431 [4] Craven B. D., Optimization 17 pp 3– (1986) · Zbl 0591.49016 · doi:10.1080/02331938608843097 [5] Craven B. D., A modified Wolfe dual for weak vector minimization (1988) · Zbl 0695.90089 [6] Craven B. D., Optimization 18 pp 151– (1987) · Zbl 0613.49026 · doi:10.1080/02331938708843228 [7] Jeyakumar V., Numer. Funct. Anal. and Optimiz. 9 pp 535– (1987) · Zbl 0611.90081 · doi:10.1080/01630568708816246 [8] Robinson S. M., SIAM J. Numerical Analysis 13 pp 497– (1976) · Zbl 0347.90050 · doi:10.1137/0713043 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.