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

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