(h,φ)-严格拟凸函数及其性质

(h,φ)-Strictly Quasiconvex Function and Its Properties

利用Ben-Tal广义代数运算,定义了(h,φ)-强拟凸函数和(h,φ)-严格拟凸函数,进而给出了(h,φ)-严格拟凸函数与(h,φ)-拟凸函数之间的重要关系,并研究了(h,φ)-严格拟凸函数的性质,然后给出了(h,φ)-强拟凸函数在数学规划问题中的应用。

The（h,φ）-strongly quasiconvex function and（h,φ）-strictly quasiconvex function are defined by using Ben-Tal generalized algebraic operation.The relationship between（h,φ）-strictly quasiconvex function and（h,φ）-quasiconvex function is given.Properties of（h,φ）-strictly quasiconvex function are studied.Then the（h,φ）-strongly quasiconvex function is put into mathematic programming.