On properties of semipreinvex functions

Xinmin Yang, Xiaoqi Yang, Kok Lay Teo · Bulletin of the Australian Mathematical Society · 2003

In this paper, we first discuss some basic properties of semipreinvex functions. We then show that the ratio of semipreinvex functions is semipreinvex, which extends earlier results by Khan and Hanson [6] and Craven and Mond [3]. Finally, saddle point optimality criteria are developed for a multiobjective fractional programming problem under semipreinvexity conditions.

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