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- W2085954711 abstract "Consider the problem, to minimize f{x) subject to are differentiable functions. Mangasariak has given sufficient Lagrangian conditions for x o to be an optimal point, when / is pseudo-convex and g t is quasi-concave whenever g i(x Q) = 0. Various authors have recently extended these and similar results to the problem, to minimize Re f(z,[zbar]) subject to g(z,[zbar]) where are analytic functions, and S is a convex cone. Sufficiency theorems were obtained, assuming that / has pseudo-convex real part, and g is concave with respect to S. The latter was not weakened to multi concavity for the tight constraints only, since g(a,[abar]) on the boundary of the cone S does not correspond to certain components of g(a,[abar]) vanishing. We show here how the assumptions on gcan be weakened to quasi-concavity with respect to a- convex cone containing S. When S is polyhedral, this corresponds to quasi-concavity over tight constraints, as in the real case." @default.
- W2085954711 created "2016-06-24" @default.
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- W2085954711 date "1977-01-01" @default.
- W2085954711 modified "2023-09-23" @default.
- W2085954711 title "Sufficient optimality conditions for complex programming with quasi-concave constraints" @default.
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- W2085954711 doi "https://doi.org/10.1080/02331937708842441" @default.
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