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1·The sufficient and necessary conditions of two single-valued mapping and a set-valued mapping with the only common fixed point in complete metric space are discussed.

研究了完备度量空间中两个单值映象和一个集值映象有唯一公共不动点的充要条件，改进了已有文献的有关结果。

2·Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of, while is complete metric space.

研究了在完备度量空间中一对模糊映象满足一些特定不等式条件，以及当其截集是中非空有界闭集时，该对模糊映象的公共不动点的存在性问题。

3·In this paper, we will give a new type of fixed point theorem for non - self - mapping in a complete metrically convex metric space.

本文给出在完备度量凸空间上非自映射的一类新的不动点定理。