Symmetric Spaces Approach to Various Cyclic Contractions and Application to Probabilistic Spaces

被引：0

作者：

Rathee, Savita ^{[1
]}

Gupta, Priyanka ^{[2
]}

Mishra, Vishnu Narayan ^{[3
]}

Abdeljawad, Thabet ^{[4
,5
]}

Mlaiki, Nabil ^{[4
]}

机构：

[1] Maharshi Dayanand Univ, Dept Math, Rohtak 124001, Haryana, India

[2] Govt Coll Women, Dept Math, Rohtak 132113, Haryana, India

[3] Indira Gandhi Natl Tribal Univ, Dept Math, Anuppur 484887, India

[4] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 09期

关键词：

symmetric spaces; fixed point theorems; cyclic contractions; probabilistic spaces;

D O I：

10.3390/sym13091704

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper aims to prove fixed point results for cyclic compatible contraction and Hardy-Rogers cyclic contraction in symmetric spaces. Our results generalize the results of Kumari and Panthi (2016) proved for cyclic compatible contraction and modified Hardy-Rogers cyclic contraction in the generating space of a b-quasi metric family and b-dislocated metric family. After that, as an application, we prove a fixed point result in symmetric pre-probabilistic metric spaces (PPM-spaces).

引用

页数：11

共 50 条

[1] Fixed Point Results for Cyclic Contractions in Partial Symmetric Spaces
Rathee, Savita
Gupta, Priyanka
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2021, 12 (04): : 903 - 912
[2] On probabilistic φ-contractions in Menger spaces
Gregori, Valentin
Minana, Juan-Jose
Morillas, Samuel
FUZZY SETS AND SYSTEMS, 2017, 313 : 114 - 118
[3] On probabilistic φ-contractions on Menger spaces
Jachymski, Jacek
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (07) : 2199 - 2203
[4] ON H+Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces
Patle, Pradip
Patel, Deepesh
Aydi, Hassen
Radenovic, Stojan
MATHEMATICS, 2019, 7 (02)
[5] Cyclic contractions and fixed point theorems on various generating spaces
Kumari, Panda Sumati
Panthi, Dinesh
FIXED POINT THEORY AND APPLICATIONS, 2015,
[6] Cyclic contractions and fixed point theorems on various generating spaces
Panda Sumati Kumari
Dinesh Panthi
Fixed Point Theory and Applications, 2015
[7] On probabilistic ψ-contractions in Menger probabilistic metric spaces
Zheng, Dingwei
Wang, Pei
FUZZY SETS AND SYSTEMS, 2018, 350 : 107 - 110
[8] On φ-contractions in probabilistic and fuzzy metric spaces
Fang, Jin-Xuan
FUZZY SETS AND SYSTEMS, 2015, 267 : 86 - 99
[9] On Generalized Contractions in Probabilistic Metric Spaces
Golet, Ioan
Hedrea, Ciprian
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
[10] A note on probabilistic φ-contractions in Menger spaces
Zheng, Dingwei
Liu, Xinhe
Wang, Pei
FUZZY SETS AND SYSTEMS, 2020, 379 : 138 - 141

← 1 2 3 4 5 →