广义度量空间上(ψ,Ф,φ(φ^(*)))-弱收缩映射的重合点和公共不动点  

Coincidence points and common fixed points for(ψ,Ф,φ(φ^(*)))-weakly contractive mappings on generalized metric spaces

作　　者：朴勇杰[1] PIAO Yong-jie(Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China)

机构地区：[1]延边大学理学院数学系,吉林延吉133002

出　　处：《东北师大学报（自然科学版）》2021年第1期19-25,共7页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11361064).

摘　　要：引进了(ψ,Ф,φ)-弱收缩条件和(ψ,Ф,φ^(*))-弱收缩条件的概念,在(具有偏序的)广义度量空间上给出了满足2种收缩条件的2个映射重合的点和公共不动点存在定理.所得结果推广和改进了文献中的一些结果.The concepts of(ψ,Ф,φ)-weakly contractive condition and(ψ,Ф,φ^(*))-weakly con-tractive condition are introduced,the existence theorems of points of coincidence and common fixed points for two mappings satisfying two contractive conditions on(partially ordered)gener-alized metric spaces are given.The obtained theorems extend and generalize many corresponding results in the literature.

关 键 词：广义度量空间 (ψ Ф φ(φ^(*)))-弱收缩 重合点 公共不动点 

分 类 号：O177.91[理学—数学]