The unique existence of the best element of approximation is proved and the formula of the best element of approximation is given.
证明了最佳逼近元的唯一存在性，并给出了最佳逼近元的计算公式。
In the inner product space, the existence theory of best approximation element was obtained and described.
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。
As applications, existence and uniqueness of a best simultaneous approximation element are studied.
同时，作为应用，研究了最佳联合逼近元的存在性与唯一性问题。
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