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.
Reviewer: Zhang Qingxiang (Shaanxi)
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 programmingReferences:
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