On properties of Strongly Prequasi-invex Functions
In this paper, the strongly prequasi-invex functions are further discussed. We note that strong prequasi-invexity of a function can be characterized by the midpoint strong prequasi-invexity of an upper and a lower semicontinuous function, respectively. Moreover under the condition of differentiability, an equivalent condition of strongly prequasi-invex function is also obtained. Finally, Some properties of strictly prequasi-invex, semistrictly prequasi-invex, and strongly prequasi-invex functions are concluded.
strongly prequasi-invex functions semicontinuity strictly prequasi-invex functions semistrictly prequasi-invex functions strongly quasi-convex functions