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
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摘要: 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.Abstract: 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.