A Use of Pair (F, h) Upper Class on Some Fixed Point Results in Probabilistic Menger Space

被引:0
作者
Jafari, Shahnaz [1 ]
Ansari, Arslan Hojat [2 ]
De La Sen, Manuel [1 ,3 ]
机构
[1] Univ Shahrekord, Dept Pure Math, Shahrekord, Iran
[2] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran
[3] Univ Basque Country, Inst Res & Dev Proc IIDP, Fac Sci & Technol, POB 644, Leioa 48940, Bizkaia, Spain
来源
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷
关键词
Fixed point; contractive mapping; probabilistic metric space; THEOREMS; CONTRACTIONS;
D O I
10.5269/bspm.52878
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we define the concept of (F, h) - alpha - beta-contractive mappings in probabilistic Menger space and prove some fixed point theorems for such mappings. Some examples are given to support the obtained results.
引用
收藏
页码:13 / 13
页数:1
相关论文
共 17 条
[1]  
Ansari A.H., 2016, J. Adv. Math. Stud, V9, P37
[2]  
Ansari A. H., 2014, 2NDREGIONAL C MATH A, P373
[3]   NONLINEAR GENERALIZED CONTRACTIONS ON MENGER PM SPACES [J].
Babacev, Natasa A. .
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2012, 6 (02) :257-264
[4]   A new contraction principle in Menger spaces [J].
Choudhury, Binayak S. ;
Das, Krishnapada .
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (08) :1379-1386
[5]   On fixed point theorems involving altering distances in Menger probabilistic metric spaces [J].
Dosenovic, Tatjana ;
Kumam, Poom ;
Gopal, Dhananjay ;
Patel, Deepesh Kumar ;
Takaci, Aleksandar .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[6]   Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation [J].
Gopal, Dhananjay ;
Abbas, Mujahid ;
Vetro, Calogero .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 :955-967
[7]  
Hadzic O., 2001, Fixed Point Theory in Probabilistic Metric Spaces
[8]   Relation theoretic metrical fixed point results for Suzuki type ZR-contraction with an application [J].
Hasanuzzaman, Md ;
Imdad, Mohammad .
AIMS MATHEMATICS, 2020, 5 (03) :2071-2087
[9]   On probabilistic φ-contractions on Menger spaces [J].
Jachymski, Jacek .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (07) :2199-2203
[10]   Coincidence point theorems in probabilistic and fuzzy metric spaces [J].
Liu, Yicheng ;
Li, Zhixiang .
FUZZY SETS AND SYSTEMS, 2007, 158 (01) :58-70