通过对一类相当复杂的变分方程问题的研究并利用其有关结论，我们证明了新模型最佳控制的存在性并刻划出其结构。
From studying some kind of quite complex variational equation problems and applying the conclusion, we prove that the optimal control of new model is existent and characterize its structure.
获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理。
In the inner product space, the existence theory of best approximation element was obtained and described.
作为应用，我们证明了这两个新的可微性概念分别给出了导映象的连续性和均匀连续性的特征刻划。
As to their applications, the continuity and uniformly continuity of derivative mapping are characterized by the two new notions of differentiability.
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