2-距离空间中集值映象串的公共不动点

Fixed point theorems for contraction type Set-Valued mappings in 2-Metric Spaces

自从S.Gahler在1964年提出2距离空间的概念以来,(见[4])这个理论及应用已有了很大发展.但2-距离空间中集值映射不动点理论的研究至今尚未多见.本文给出了2-距离空间中集值映射和集值映射串的两个不动点定理.从而把[2]、[3]中关于2-距离空间单值映射的相应结果推广到集值映射.

Since the concept of 2-metric space was introduced by Gahler [4] in 1964,the theory of 2-metric space has been made considerable headway, but we find few results on fixed point theory for set-valued mappings in 2-metric spaces so far. Using new concept introduced in [1], two fixed point theorems for contraction type set-valued mappings in 2-metric spaces are gived in this paper. The results obtained in this paper generalize the corresponding results for single-valued mappings in 2-metric spaces [2-3].