Bulletin of the Australian Mathematical Society · 1997 · 36 citations · 8 references
Natural SciencesComputer ScienceOptimizationConvex AnalysisConvex OptimizationLinear ProgrammingMulti-objective OptimizationMultiobjective OptimizationNonlinear ProgrammingDuality TheoryMultiobjective Convex Optimization
Usual duality results are proved for Wolfe and Mond-Weir type multiobjective symmetric dual problems without nonnegativity constraints under invexity/generalised invexity assumptions. Moreover, assuming the kernel function to be skew symmetric, the multiobjective problems are exhibited to be self duals.
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Symmetric dual nonlinear programs
George B. Dantzig, E. Eisenberg, Richard W. Cottle · Pacific Journal of Mathematics · 1965 · 239 citations · Full text