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Sufficient optimality conditions and duality for a quasiconvex programming problem. (English) Zbl 0628.90065

Under differentiability assumptions, Fritz John sufficient optimality conditions are proved for a nonlinear programming problem in which the objective function is assumed to be quasiconvex and the constraint functions are assumed to be quasiconcave/strictly pseudoconcave. Duality theorems are proved for Mond-Weir type duality under the above generalized convexity assumptions.

MSC:

90C30 Nonlinear programming
49N15 Duality theory (optimization)
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