Fixed point theorems for ϕ-contraction mappings in probabilistic generalized Menger space

被引：0
作者：
Shahnaz Jafari
Maryam Shams
机构：
[1] University of Shahrekord,Department of Pure Mathematics
来源：
Indian Journal of Pure and Applied Mathematics | 2020年 / 51卷
关键词：
Probabilistic ; -Menger space; contraction mappings; continuous ; -norm; fixed point; distribution function; 47H09; 47H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we define the concepts of ϕ-contraction in probabilistic generalized Menger space. We prove that ϕ-contraction mappings in probabilistic generalized Menger space have a unique fixed point. Also we prove some fixed point theorems related this concept. Some examples are given to support the obtained results.
引用
收藏
页码：519 / 532
页数：13
相关论文
共 33 条
[1]  
Alsulami S M(2015)-contraction in generalized probabilistic metric spaces Fixed Point Theory Appl. 2015 151-1386
[2]  
Choudhury B S(2008)A new contraction principle in Menger spaces Acta Math. Sin. 24 1379-336
[3]  
Das P(1992)Generalized metric spaces and mappings with fixed point Bull. Calcutta Math. Soc. 84 329-148
[4]  
Choudhury B S(1963)2-metrische Raume undihre topologische Struktur Math. Nachr. 26 115-384
[5]  
Das K P(1988)Strictly convex and strictly 2-convex 2-normed spaces Math. Japon. 33 375-9
[6]  
Dhage B C(1984)Fixed points theorems by altering distances between the points Bull. Aust. Math. Soc. 30 1-537
[7]  
Gahler S(1942)Statistical metrics Proc. Natl. Acad. Sci. U. S. A. 28 535-319
[8]  
Ha K S(2011)Fixed point results on complete G-metric spaces Studia Sci. Math. Hung. 48 304-297
[9]  
Cho Y J(2006)A new approach to generalized metric spaces J. Nonlinear Convex Anal. 7 289-447
[10]  
White A(2008)Some fixed point theorem for mapping on complete G-metric spaces Fixed Point Theory Appl. 2008 189870-undefined
1234