The gap function of a convex multicriteria optimization problem

DOI10.1016/S0377-2217(97)00300-7zbMath0944.90079MaRDI QIDQ1303750

C. J. Goh, Guang-Ya Chen, Xiao Qi Yang

Publication date: 16 September 1999

Published in: European Journal of Operational Research (Search for Journal in Brave)

zbMATH Keywords

multicriteria optimizationgap functionWolfe dualcone-convexity of set-valued functions

Mathematics Subject Classification ID

Convex programming (90C25) Multi-objective and goal programming (90C29)

Related Items

Optimality conditions in convex multiobjective SIP, Characterization of norm-based robust solutions in vector optimization, The gap function for optimization problems in Banach spaces, Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators, On gap functions for nonsmooth multiobjective optimization problems, Isolated efficiency in nonsmooth semi-infinite multi-objective programming, Revisiting the gap function of a multicriteria optimization problem

Cites Work

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• Theory of multiobjective optimization
• The gap function of a convex program
• Generalized differential calculus for nonsmooth and set-valued mappings
• On gap functions and duality of variational inequality problems
• Proper efficiency and the theory of vector maximization
• On some relations between a dual pair of multiple objective linear programs