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Yang, X. M.; Yang, X. Q.; Teo, K. L.

On properties of semipreinvex functions. (English) Zbl 1176.90475

Bull. Aust. Math. Soc. 68, No. 3, 449-459 (2003).
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.
Reviewer: Zhang Qingxiang (Shaanxi)

Cited in 1 Review
Cited in 4 Documents

MSC:

90C26 Nonconvex programming, global optimization
26B25 Convexity of real functions of several variables, generalizations
90C32 Fractional programming
90C29 Multi-objective and goal programming

Keywords:

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

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