A Sufficient Condition About Semi-strictly Prequasi-lnvex Functions

Zhe Chen · Chongqing Shifan Daxue xuebao. Ziran kexue ban · 2006

The author has proved that the differentiable pseudoconvex functions must be semi-strictly quasiconvex functions under certain condition in[1].Yang has proved that the differenciable pseudoconvex functions must be prequasiinvex func- tions with respect to the same vector-valued functionηby making use of condition C and condition D which Mohan and Nengy introduced in paper[3]and Yang introduced in paper[2].In this paper,the author has proved that the differentiable pseud- oconvex functions must be semi-striclt prequasi-invex functions with the same vector-valued functionη.

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