Rational Type Contractions in Extended b-Metric Spaces

被引：13

作者：

Huang, Huaping ^{[1
]}

Singh, Yumnam Mahendra ^{[2
]}

Khan, Mohammad Saeed ^{[3
]}

Radenovic, Stojan ^{[4
]}

机构：

[1] Chongqing Three Gorges Univ, Sch Math & Stat, Wanzhou 404020, Peoples R China

[2] Manipur Inst Technol, Dept Basic Sci & Humanities, Takelpat 795004, Manipur, India

[3] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0208 Ga Rankuwa, South Africa

[4] Univ Belgrade, Fac Mech Engn, Kraljice Marije 16, Belgrade 11120, Serbia

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 04期

关键词：

comparison function; α -admissible; rational type contraction; extended b-metric space; Fredholm integral equation; FIXED-POINT THEOREMS; MAPPINGS;

D O I：

10.3390/sym13040614

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：

In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

引用

页数：19

共 50 条

[21] Admissible Hybrid E-Contractions in Extended b-Metric Spaces
Kiran, Quanita
Azhar, Mamuna
Aydi, Hassen
Gaba, Yae Ulrich
ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
[22] VARIOUS CONTRACTIONS IN EXTENDED B-METRIC SPACE
Rana, Kanika
Garg, Arun Kumar
ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2020, 19 (08): : 709 - 717
[23] Probabilistic b-metric spaces and nonlinear contractions
Mbarki A.
Oubrahim R.
Fixed Point Theory and Applications, 2017 (1)
[24] On generalized α - ψ-Geraghty contractions on b-metric spaces
Afshari, Hojjat
Aydi, Hassen
Karapinar, Erdal
GEORGIAN MATHEMATICAL JOURNAL, 2020, 27 (01) : 9 - 21
[25] New Hybrid Contractions on b-Metric Spaces
Karapinar, Erdal
Fulga, Andreea
MATHEMATICS, 2019, 7 (07)
[26] RETRACTED: On Multivalued Fuzzy Contractions in Extended b-Metric Spaces (Retracted Article)
Alamgir, Nayab
Kiran, Quanita
Aydi, Hassen
Gaba, Yae Ulrich
JOURNAL OF MATHEMATICS, 2021, 2021
[27] Cyclic quasi-contractions of Ciric type in b-metric spaces
He, Fei
Zhao, Xiao-Yue
Sun, Yu-Qi
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (03): : 1075 - 1088
[28] The class of -type contractions in b-metric spaces and fixed point theorems
Samet, Bessem
FIXED POINT THEORY AND APPLICATIONS, 2015,
[29] Results on Contractions of Reich Type in Graphical b-Metric Spaces with Applications
Younis, Mudasir
Singh, Deepak
Asadi, Mehdi
Joshi, Vishal
FILOMAT, 2019, 33 (17) : 5723 - 5735
[30] Common fixed points for (ψ - φ)-weak contractions type in b-metric spaces
Morales, Jose R.
Rojas, Edixon M.
ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (03) : 639 - 658

← 1 2 3 4 5 →