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
作者
姜云
谷峰
Jiang Yun Gu Feng(Department of Mathematics, Hangzhou Normal University, Hangzhou 310036, China)
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)
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
multiplicative metric space, contractive mappings, φ-weakly commuting mappings,compatible mappings, common fixed point