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Zbl 1176.90475
Yang, X.M.; Yang, X.Q.; Teo, K.L.
On properties of semipreinvex functions. (English)
[J] Bull. Aust. Math. Soc. 68, No. 3, 449-459 (2003). ISSN 0004-9727

Some new properties of semipreinvex functions are given.In particular, it is proved that the ratio of two semipreinvex functions is a semipreinvex function. This result which extends earlier results by Khan and craven.also, saddle optimality criteria involving semipreinvex functions are obtained for a multiobjective fractional programming problems.
[Zhang Qingxiang (Shaanxi)]
MSC 2000:
*90C26 Nonconvex programming
26B25 Convexity and generalizations (several real variables)
90C32 Fractional programming
90C29 Multi-objective programming, etc.

Keywords: semipreinvex function; property; saddle point; optimality criteria; multiobjective fractional programming

Cited in: Zbl 1152.90569

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