乘积度量空间上一类满足隐式压缩条件的映射对公共不动点的存在性和唯一性  

Existence and Uniqueness of Common Fixed Points for a Class ofMappings Satisfying Implicit Compression Conditions on Multiplicative Metric Spaces

作　　者：玄东平 胡晓会 南华[1] XUAN Dongping;HU Xiaohui;NAN Hua(College of Science,Yanbian University,Yanji 133002,Jilin Province,China)

机构地区：[1]延边大学理学院,吉林延吉133002

出　　处：《吉林大学学报（理学版）》2023年第2期310-316,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11961073);吉林省教育厅科学研究项目(批准号:JJKH20180891KJ).

摘　　要：通过在[1,∞)4上引入一个实函数类Φ,给出在乘积度量空间上满足Φ-隐式条件的两个映射的唯一公共不动点存在性定理,并给出若干个(公共)不动点定理.所得结论推广并改进了现有公共不动点定理(特别是乘积度量空间上的Banach-Chateajia型公共不动点定理).最后,用两个实例验证了所得结论的正确性.By introducing a real function classΦon[1,∞)4,we gave the existence theorems of unique common fixed point for two mappings satisfying theΦ-implicit condition on multiplicative metric spaces,and gave some(common)fixed point theorems.The conclusions generalized and improved the existing common fixed point theorems(in particular,the Banach-Chateajia type common fixed point theorems on multiplicative metric spaces).Finally,two examples were used to verify the correctness of the conclusions.

关 键 词：乘积度量空间 函数类Φ 隐式条件 公共不动点 

分 类 号：O177.3[理学—数学] O189.11[理学—基础数学]