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中文摘要：
借助于Ben—Tal广义代数运算引进了一种新的函数（h，φ）-Lipschitz函数．讨论了它与Lipschitz函数之间的关系，给出了它的广义方向导数和广义梯度，得到了它们的若干性质．作为应用，给出了广义方向导数与切锥之间的关系．
英文摘要：
With the help of Ben-Tal＇s generalized algebraic operations, a new kind of functions, termed （h,φ）-Lipschitz functions, is introduced. The relationship between it and Lipschitz function is discussed. Generalized directional derivative and generalized gradient are developed and their properties are obtained. As an application, the relationship between generalized directional derivative and contingent cone is presented.
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