Solving integral and differential equations via fixed point results involving F-contractions

被引：0

作者：

Singh, Bijender ^{[1
]}

Isik, Huseyin ^{[2
,3
]}

Singh, Vizender ^{[4
]}

Singh, Kuldeep ^{[5
]}

机构：

[1] Manipal Univ Jaipur, Dept Math & Stat, Jaipur 303007, Rajasthan, India

[2] Bandirma Onyedi Eylul Univ, Dept Engn Sci, TR-10200 Bandirma, Balikesir, Turkiye

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

[4] Guru Jambheshwar Univ Sci & Technol, Directorate Distance Educ, Hisar 125001, Haryana, India

[5] Guru Jambheshwar Univ Sci & Technol, Dept Math, Hisar 125001, Haryana, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2024年 / 2024卷 / 01期

关键词：

Fixed point; F-weak contraction; Orthogonal F-contraction; Orthogonal metric spaces; ORTHOGONAL SETS; THEOREM;

D O I：

10.1186/s13660-024-03154-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we aim to establish fixed point results within the framework of an orthogonal complete metric space by employing an F-weak contraction. Our research extends and generalizes several well-established results found in the existing literature. To substantiate the validity of our findings, we have included illustrative examples. Additionally, our discoveries empower us to ascertain both the existence and uniqueness of solutions for both differential and integral equations.

引用

页数：15

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