乘积度量空间中满足?-型压缩条件的四个映象的公共不动点定理  

Common fixed points theorems for four maps satisfying ?-type contractive condition in multiplicative metric spaces

作　　者：姜云[1] 谷峰[1] Jiang Yun Gu Feng(Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China)

机构地区：[1]杭州师范大学数学系,浙江杭州310036

出　　处：《纯粹数学与应用数学》2017年第2期185-196,共12页Pure and Applied Mathematics

基　　金：国家自然科学基金(11071169);浙江省自然科学基金(Y6110287)

摘　　要：在乘积度量空间中,引入了φ-弱交换映象的概念,并使用映象对相容和φ-弱交换的条件,证明了关于四个映象的几个新的公共不动点定理.本文结果拓展和改进了之前文献中一些相关结果.In the framework of a multiplicative metric spaces, we introduce concept of φ- weakly commuting mappings, we prove some new fixed point theorem for four mappings using compatible mappings and φ-weakly commuting mappings. The results obtained in this paper extend and improve some well-known comparable results in the literature

关 键 词：乘积度量空间 压缩映象 φ-弱交换映象 相容映象 公共不动点 

分 类 号：O177[理学—数学]