CAJ | 학술논문

文章讨论了一类新的广义凸函数：半严格α-预不变凸函数，并得到了它的一些性质。这些性质包括在一定条件下判别半严格α-预不变凸函数的两个必要条件以及复合函数的半严格α-预不变凸性，最后还讨论了半严格-预不变凸函数在数学规划中的两个重要应用。
문장토론료일류신적엄의철함수：반엄격α-예불변철함수，병득도료타적일사성질。저사성질포괄재일정조건하판별반엄격α-예불변철함수적량개필요조건이급복합함수적반엄격α-예불변철성，최후환토론료반엄격-예불변철함수재수학규화중적량개중요응용。
In this paper, a new type of generalized convex function, termed semistrictly -preinvex functions, is discussed. Several properties of them are obtained. These properties include two new necessity conditions of semistrictly -preinvex functions under certain conditions and the characterization of the composite semistrictly -preinvex functions. Finally, we also give two important applications in terms of semistrictly -preinvex functions in mathematical programming.