β-光滑Banach空间中的次微分理论的3个定理

Three results of subdifferential in smooth Banach spaces

在 β -光滑Banach空间中 ,利用局部模糊和规则、多个函数多方向中值不等式 ,把逼近中值定理、弱单调定理推广到多个函数的情形 ,并给出了集值映射方口积的次微分规则 .

A generalized approximate mean value theorem and a generalized weak monotonicity result are obtained by using local fuzzy sum rule and generalized multifunctional mean value inequality in β smooth Banach spaces,so is a β subdifferential rule of the intersection composition of two set value maps.