Fixed Point Theorems via Orthogonal Convex Contraction in Orthogonal ♭-Metric Spaces and Applications-Reference-Cited by-同舟云学术

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

Published:2023-01-30 Issue:2 Volume:12 Page:143
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Nallaselli Gunasekaran¹,Baazeem Amani S.²,Gnanaprakasam Arul Joseph¹^ORCID,Mani Gunaseelan³^ORCID,Javed Khalil⁴,Ameer Eskandar⁵,Mlaiki Nabil⁶^ORCID

Affiliation:

1. Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kanchipuram 603203, India

2. Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammed Ibn Saud Islamic University), P.O. Box 90950, Riyadh 11623, Saudi Arabia

3. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India

4. Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 04436, Pakistan

5. Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen

6. Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

Abstract

In this paper, we introduce the concept of orthogonal convex structure contraction mapping and prove some fixed point theorems on orthogonal ♭-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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/2/143/pdf

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