Fixed point results for Suzuki-type σ-contractions via simulation functions in modular b-metric spaces

被引:2
作者
Ozturk, Mahpeyker [1 ]
Buyukkaya, Abdurrahman [2 ]
机构
[1] Sakarya Univ, Dept Math, Sakarya, Turkey
[2] Karadeniz Tech Univ, Dept Math, Trabzon, Turkey
关键词
common fixed point; modular b-metric space; simulation function; Suzuki-type contraction; THEOREMS;
D O I
10.1002/mma.7634
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This study aims to introduce Suzuki-type sigma-contraction mappings with simulation functions in the framework of modular b-metric spaces. Some coincidence and common fixed point results are obtained for four mappings with the weak compatibility property. Outcomes are the extensions and improvements of the existing literature. Finally, we also present two applications on graph theory and homotopy theory, which show the applicability and validity of our results.
引用
收藏
页码:12167 / 12183
页数:17
相关论文
共 38 条
[1]   Fixed points of Kannan maps in modular metric spaces [J].
Abdou, Afrah A. N. .
AIMS MATHEMATICS, 2020, 5 (06) :6395-6403
[2]   On generalized α - ψ-Geraghty contractions on b-metric spaces [J].
Afshari, Hojjat ;
Aydi, Hassen ;
Karapinar, Erdal .
GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (01) :9-21
[3]  
Alaca C, 2016, J COMPUT ANAL APPL, V20, P1259
[4]   A Note on Extended Z-Contraction [J].
Alghamdi, Maryam A. ;
Gulyaz-Ozyurt, Selma ;
Karapinar, Erdal .
MATHEMATICS, 2020, 8 (02)
[5]   A Bilateral Contraction via Simulation Function [J].
Alqahtani, Obaid ;
Karapinar, Erdal .
FILOMAT, 2019, 33 (15) :4837-4843
[6]   Extended Simulation Function via Rational Expressions [J].
Alsubaie, Rawan ;
Alqahtani, Badr ;
Karapinar, Erdal ;
Roldan Lopez de Hierro, Antonio Francisco .
MATHEMATICS, 2020, 8 (05)
[7]  
Antal S., 2020, J NONLINEAR SCI APP, V13, P212, DOI [DOI 10.22436/JNSA.013.04.06, 10.22436/jnsa.013.04.06]
[8]  
Aydi H, 2019, JORDAN J MATH STAT, V12, P265
[9]   A fixed point theorem for set-valued quasi-contractions in b-metric spaces [J].
Aydi, Hassen ;
Bota, Monica-Felicia ;
Karapinar, Erdal ;
Mitrovic, Slobodanka .
FIXED POINT THEORY AND APPLICATIONS, 2012,
[10]  
Aydi H, 2012, FIXED POINT THEOR-RO, V13, P337