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A remark on preinvex functions. (English) Zbl 1152.90569

Summary: We show that the ratio of preinvex functions ins invex. Hence, we give a positive answer to the open question which was proposed in a paper of X. M. Yang, X. Q. Yang and K. L. Teo [Bull. Aust. Math. Soc. 68, No. 3, 449–459 (2003; Zbl 1176.90475)].

MSC:

90C26 Nonconvex programming, global optimization
26B25 Convexity of real functions of several variables, generalizations

Citations:

Zbl 1176.90475
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References:

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