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1989•Journal of Information and Optimization SciencesRequires access

Continuous Time Multiobjective Duality Theory

Chanchal Singh

Open publisher page 5 citations

Abstract

Two types of duals are considered. All the duality results are obtained without any use of optimality conditions. One set of results are based on a dual that has the same objective function as the primal problem but with different constraints. The second set of results are based on a dual of an auxiliary primal with real valued objective function. Under various convexity, quasiconvexity and pseudoconvexity requirements, relationships are sought between the primal and duals.

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What this paper is about

Two types of duals are considered. All the duality results are obtained without any use of optimality conditions. One set of results are based on a dual that has the same objective function as the primal problem but with different constraints. The second set of results are based on a dual of an auxiliary primal with real valued objective function. Under various convexity, quasiconvexity and pseudoconvexity requirements, relationships are sought between the primal and duals.

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Available abstract

Two types of duals are considered. All the duality results are obtained without any use of optimality conditions. One set of results are based on a dual that has the same objective function as the primal problem but with different constraints. The second set of results are based on a dual of an auxiliary primal with real valued objective function. Under various convexity, quasiconvexity and pseudoconvexity requirements, relationships are sought between the primal and duals.

Key concepts: Dual polyhedron, Duality (order theory), Convexity, Mathematics, Dual (grammatical number), Set (abstract data type), Function (biology), Mathematical optimization

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