Fixed Point Theorems via Orthogonal Convex Contraction in Orthogonal b-Metric Spaces and Applications

被引：2

作者：

Nallaselli, Gunasekaran ^{[1
]}

Baazeem, Amani S. ^{[2
]}

Gnanaprakasam, Arul Joseph ^{[1
]}

Mani, Gunaseelan ^{[3
]}

Javed, Khalil ^{[4
]}

Ameer, Eskandar ^{[5
]}

Mlaiki, Nabil ^{[6
]}

机构：

[1] SRM Inst Sci & Technol, Coll Engn & Technol, Fac Engn & Technol, Dept Math, Kanchipuram 603203, India

[2] Imam Mohammed Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, IMSIU, POB 90950, Riyadh 11623, Saudi Arabia

[3] Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, India

[4] Int Islamic Univ Islamabad, Dept Math & Stat, Islamabad 04436, Pakistan

[5] Taiz Univ, Dept Math, POB 6803, Taizi, Yemen

[6] Prince Sultan Univ, Dept Math & Sci, POB 66833, Riyadh 11586, Saudi Arabia

来源：

AXIOMS | 2023年 / 12卷 / 02期

关键词：

b-metric space; O-set; O-sequence; b?-metric space; fixed point; orthogonal convex; MAPPINGS;

D O I：

10.3390/axioms12020143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the concept of orthogonal convex structure contraction mapping and prove some fixed point theorems on orthogonal b-metric spaces. We adopt an example to highlight the utility of our main result. Finally, we apply our result to examine the existence and uniqueness of the solution for the spring-mass system via an integral equation with a numerical example.

引用

页数：17

共 50 条

[31] Some common coupled fixed point theorems for generalized contraction in b-metric spaces
Malhotra, Nidhi
Bansal, Bindu
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (01): : 8 - 16
[32] Fixed point and endpoint theorems of multivalued mappings in convex b-metric spaces with an application
Ji, Dong
Yu, Yao
Li, Chaobo
AIMS MATHEMATICS, 2024, 9 (03): : 7589 - 7609
[33] Existence, Approximation and Stability of Fixed Point for Ciric Contraction in Convex b-Metric Spaces
Gazal
Rathee, Savita
Mahima
Kadyan, Anshuka
Minakshi
Kumar, Anil
AXIOMS, 2023, 12 (07)
[34] Fixed point theorems of contractive mappings in cone b-metric spaces and applications
Huang, Huaping
Xu, Shaoyuan
FIXED POINT THEORY AND APPLICATIONS, 2013,
[35] Fixed point theorems of contractive mappings in cone b-metric spaces and applications
Huaping Huang
Shaoyuan Xu
Fixed Point Theory and Applications, 2013
[36] NONUNIQUE FIXED POINT THEOREMS ON b-METRIC SPACES VIA SIMULATION FUNCTIONS
Aydi, H.
Karapinar, E.
Rakoccevic, V
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 12 (03): : 265 - 288
[37] FIXED POINT THEOREMS FOR NONSELF OPERATORS IN b-METRIC SPACES
Bota, Monica-Felicia
Ilea, Veronica
FIXED POINT THEORY, 2015, 16 (02): : 225 - 232
[38] Multivalued fixed point theorems in cone b-metric spaces
Akbar Azam
Nayyar Mehmood
Jamshaid Ahmad
Stojan Radenović
Journal of Inequalities and Applications, 2013
[39] SOME FIXED POINT THEOREMS IN EXTENDED b-METRIC SPACES
Shatanawi, Wasfi
Abodayeh, Kamaleldin
Mukheimer, Aiman
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (04): : 71 - 78
[40] Multivalued fixed point theorems in cone b-metric spaces
Azam, Akbar
Mehmood, Nayyar
Ahmad, Jamshaid
Radenovic, Stojan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

← 1 2 3 4 5 →