Multivalued Fixed Point Results in Dislocated b-Metric Spaces with Application to the System of Nonlinear Integral Equations

被引：32

作者：

Rasham, Tahair ^{[1
]}

Shoaib, Abdullah ^{[2
]}

Hussain, Nawab ^{[3
]}

Alamri, Badriah A. S. ^{[3
]}

Arshad, Muhammad ^{[1
]}

机构：

[1] Int Islamic Univ, Dept Math & Stat, H-10, Islamabad 44000, Pakistan

[2] Riphah Int Univ, Dept Math & Stat, Islamabad 44000, Pakistan

[3] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 01期

关键词：

fixed point; generalized F-contraction; closed ball; semi alpha(*)-dominated multivalued mapping; graphic contractions; application to integral equations; F-CONTRACTIONS; CLOSED BALL; THEOREMS; MAPPINGS;

D O I：

10.3390/sym11010040

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：

The purpose of this paper is to find out fixed point results for a pair of semi alpha(*)-dominated multivalued mappings fulfilling a generalized locally F-dominated multivalued contractive condition on a closed ball in complete dislocated b-metric space. Some new fixed point results with graphic contractions on closed ball for a pair of multi graph dominated mappings on dislocated b-metric space have been established. An application to the existence of unique common solution of a system of integral equations is presented.

引用

页数：16

共 50 条

[1] Fixed point results in b-metric spaces with applications to integral equations
Alamri, Badriah
Ahmad, Jamshaid
[J]. AIMS MATHEMATICS, 2023, 8 (04): : 9443 - 9460
[2] Fixed point results in b-metric spaces approach to the existence of a solution for nonlinear integral equations
Wutiphol Sintunavarat
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016, 110 : 585 - 600
[3] Fixed point results in b-metric spaces approach to the existence of a solution for nonlinear integral equations
Sintunavarat, Wutiphol
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2016, 110 (02) : 585 - 600
[4] Interpolative multivalued α*-dominated contractive functions in dislocated b-metric spaces and some fixed point results
Shoaib, Abdullah
Mir, Usman
[J]. MATHEMATICAL SCIENCES, 2024, 18 (01) : 9 - 16
[5] On stability of fixed point inclusion for multivalued type contraction mappings in dislocated b-metric spaces with application
Phiangsungnoen, Supak
Kumam, Poom
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) : 7407 - 7420
[6] SOME FIXED POINT RESULTS IN EXTENDED PARAMETRIC B-METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS
Parvaneh, V
Hussain, N.
Kutbi, M. A.
Khorshidi, M.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 10 (05): : 14 - 33
[7] New multivalued fixed point results in cone b-metric spaces
Chu, Zhe
Huang, Xianjiu
Liu, Xiaoyi
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 3504 - 3510
[8] Common fixed point theorems for multivalued mappings in b-metric spaces with an application to integral inclusions
Aliouche, Abdelkrim
Hamaizia, Taieb
[J]. JOURNAL OF ANALYSIS, 2022, 30 (01): : 43 - 62
[9] Common fixed point theorems for multivalued mappings in b-metric spaces with an application to integral inclusions
Abdelkrim Aliouche
Taieb Hamaizia
[J]. The Journal of Analysis, 2022, 30 : 43 - 62
[10] Some fixed point results in b-metric spaces approach to the existence of a solution to nonlinear integral equations
Huang, Huaping
Dosenovic, Tatjana
Radenovic, Stojan
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)

← 1 2 3 4 5 →