2-距离空间中广义拟弱交换映象的公共不动点定理  

Common Fixed Point Theorems for Generalized-quasi-weak Commutativity Mapping in 2-metric Spaces

作　　者：林媛[1] 张树义[1] 郑晓迪 LIN Yuan ZHANG Shuyi ZHENG Xiaodi(School of Mathematics and Physics ,Bohai University,Jinzhou 121013 ,China Department of Computer, Jinzhou Teacher＇ s Training College, Jinzhou 121001, China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013 [2]锦州师范高等专科学校计算机系,辽宁锦州121001

出　　处：《鲁东大学学报（自然科学版）》2017年第1期8-14,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(11371070)

摘　　要：在完备的2-距离空间中,研究了一类涉及四个映象的带有对称函数的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,将相关文献中的结果扩展到了2-距离空间中.The existence problem of common fixed point for a class of contractive type condition involving four mappings with symmetric function in complete 2-metric spaces was studied. A new common fixed point theorem for this class of contractive type mappings with symmetric function was proved by using generalized-quasi-weak commutativity. The results obtained in this paper extend the corresponding results in some references to 2- metric spaces.

关 键 词：2-距离空间 广义拟弱交换映象 公共不动点 

分 类 号：O177.91[理学—数学]