Abstract
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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