2-距离空间中一类压缩型映象的不动点定理

Fixed Point Theorem for a Class of Contractive Type Mappings in 2-Metric Spaces

在完备的2-距离空间框架下,研究一类涉及4个映象并满足一定压缩型条件的公共不动点的存在性问题.利用广义弱交换映象概念,证明了这类带有对称函数的压缩映象的新型公共不动点定理.最终将相关文献中的结果推广到了2-距离空间中.

In the study, the existence problem of common fixed point for a class of contractive type condition involving four mappings in complete 2-metric spaces was explored, a new common fixed point theorem for this class of contractive type mappings with symmetric function was proved by using generalized-weak commutativity. At last, the results can be promoted to 2-metric spaces.