Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1987 · 62 citations · 17 references
Natural SciencesDecision SciencesOptimizationConstrained OptimizationConvex AnalysisConvex OptimizationNonlinear ProgrammingOptimization TheoryPareto OptimalityDuality TheoryNonconvex Optimization
Abstract The duality results of Wolfe for scalar convex programming problems and some of the more recent duality results for scalar nonconvex programming problems are extended to vector valued programs. Weak duality is established using a ‘Pareto’ type relation between the primal and dual objective functions.
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A duality theorem for non-linear programming
Philip Wolfe · Quarterly of Applied Mathematics · 1961 · 585 citations · Full text
John C. G. Boot, H. P. Kunzi, W. Krelle · Econometrica · 1969 · 422 citations
A Duality Theorem for Nonlinear Programming
Skand Sinha · Management Science · 1966 · 350 citations