中文摘要：

首先给出集值映射的几个通有唯一性定理，然后将其应用于研究极大极小问题、向量优化问题和不动点问题等解的唯一性．证明了在Baire分类意义下，大多数极大极小问题、向量优化问题和不动点问题都有唯一解．

英文摘要：

We first present several generic uniqueness theorems for set-valued map pings, then apply them to investigate the uniqueness of the solutions of max-min prob lems, vector optimization problems and fixed point problems etc. As results, we prove that, in the sense of Baire＇s category, most of the problems in the space consisting of max-rain problems （respectively, vector optimization problems and fixed point prob lems） have unique solution.