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On properties of semipreinvex functions. (English) Zbl 1176.90475

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.

MSC:

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