概率度量空间中一类映射的非唯一不动点定理

摘要

在非阿基米德概率度量空间中研究了一类新的Ciric-Altman型映射不动点的存在性.首先, 在一定条件下建立了新的非唯一不动点定理;其次, 作为特例在度量空间获得了Ciric-Altman型映射不动点的存在性定理;最后, 在两个非阿基米德概率度量空间中对Ciric-Altman型映射不动点作了讨论.所获得的存在性定理在很大程度上推广和改进了现有文献中的相应结果.%The purpose of this paper is to study the existence of fixed points for a new class of Ciric-Altman type mappings in non-Archimedean probabilistic metric spaces. The new nonunique fixed point theorems were established under certain conditions. As a special case, the existence theorems of fixed points were obtained for Ciric-Altman type mappings in metric spaces. Finally, the fixed points of Ciric-Altman type mappings were discussed in two nonArchimedes probabilistic metric spaces. Therefore, the existence theorem obtained extends and improves the corresponding results in the existing literature to a great extent.