ON Ψ-CONTRACTIONS AND COMMON FIXED POINT RESULTS IN PROBABILISTIC METRIC SPACES

被引:1
|
作者
Tian, Jingfeng [1 ]
Hu, Ximei [2 ]
O'Regan, Donal [3 ]
机构
[1] North China Elect Power Univ, Dept Math & Phys, Baoding 071003, Hebei, Peoples R China
[2] China Mobile Grp Hebei Co Ltd, Baoding 071051, Hebei, Peoples R China
[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源
FIXED POINT THEORY | 2020年 / 21卷 / 01期
关键词
Coupled fixed point; fixed point; metric space; probabilistic phi-ocontractions; gauge function; PHI-CONTRACTIONS; NONLINEAR CONTRACTIONS; TRIPLED COINCIDENCE; THEOREMS; MAPPINGS;
D O I
10.24193/fpt-ro.2020.1.23
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, by weakening the conditions on the gauge function Psi, some new fixed point and common fixed point (common coupled fixed point, common tripled fixed point) theorems for nonlinear mappings with a gauge function Psi in Menger probabilistic metric spaces are established. An example is given to illustrate our theory.
引用
收藏
页码:319 / 337
页数:19
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