Fixed point results for generalized contractions via simulation functions in dislocated quasi b-metric space

被引:4
作者
Hala, Nadjet [1 ,2 ]
Habita, Khaled [1 ,2 ]
Beloul, Said [1 ,2 ]
机构
[1] Univ El Oued, Operators Theory & PDE Lab, POB 789, El Oued 39000, Algeria
[2] Univ El Oued, Dept Math, POB 789, El Oued 39000, Algeria
关键词
Fixed point; Generalized contraction; Dislocated quasi b-metric spaces; Simulation function; THEOREMS; MAPPINGS;
D O I
10.1007/s41478-024-00763-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, using a class of functions in dislocated quasi b-metric spaces, we show a fixed point theorem for a self mapping satisfying a generalized contractive condition. We provide an application of the existence of solutions for a boundary value problem in addition to two examples that serve as examples of our findings.
引用
收藏
页码:2833 / 2846
页数:14
相关论文
共 31 条
[1]   A Note on Extended Z-Contraction [J].
Alghamdi, Maryam A. ;
Gulyaz-Ozyurt, Selma ;
Karapinar, Erdal .
MATHEMATICS, 2020, 8 (02)
[2]   Fixed point and coupled fixed point theorems on b-metric-like spaces [J].
Alghamdi, Mohammed Ali ;
Hussain, Nawab ;
Salimi, Peyman .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[3]   A Bilateral Contraction via Simulation Function [J].
Alqahtani, Obaid ;
Karapinar, Erdal .
FILOMAT, 2019, 33 (15) :4837-4843
[4]   Extended Simulation Function via Rational Expressions [J].
Alsubaie, Rawan ;
Alqahtani, Badr ;
Karapinar, Erdal ;
Roldan Lopez de Hierro, Antonio Francisco .
MATHEMATICS, 2020, 8 (05)
[5]   An Ulam stability result on quasi-b-metric-like spaces [J].
Alsulami, Hamed H. ;
Gulyaz, Selma ;
Karapinar, Erdal ;
Erhan, Inci M. .
OPEN MATHEMATICS, 2016, 14 :1087-1103
[6]   Metric-like spaces, partial metric spaces and fixed points [J].
Amini-Harandi, A. .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[7]  
[Anonymous], 2015, Appl. Math. Sci
[8]  
Aydi H, 2019, JORDAN J MATH STAT, V12, P265
[9]  
Aydi H., 2015, ELECT J DIFFERENTIAL, V2015, P1
[10]  
Beloul S, 2018, APPL MATH E-NOTES, V18, P127