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Zbl 0628.90065
Bector, C.R.; Chandra, S.; Bector, M.K.
Sufficient optimality conditions and duality for a quasiconvex programming problem. (English)
[J] J. Optimization Theory Appl. 59, No.2, 209-221 (1988). ISSN 0022-3239; ISSN 1573-2878/e

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 2000:
*90C30 Nonlinear programming
49N15 Duality theory (optimization)

Keywords: quasi-convex objective function; Fritz John sufficient optimality conditions; Mond-Weir type duality

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