Fixed Point Theorems via Orthogonal Convex Contraction in Orthogonal ♭-Metric Spaces and Applications
Gunasekaran Nallaselli,
Amani S. Baazeem,
Arul Joseph Gnanaprakasam,
Gunaseelan Mani,
Khalil Javed,
Eskandar Ameer,
Nabil Mlaiki
Affiliations
Gunasekaran Nallaselli
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kanchipuram 603203, India
Amani S. Baazeem
Department of Mathematics and Statistics, College of Science, IMSIU (Imam Mohammed Ibn Saud Islamic University), P.O. Box 90950, Riyadh 11623, Saudi Arabia
Arul Joseph Gnanaprakasam
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kanchipuram 603203, India
Gunaseelan Mani
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Khalil Javed
Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 04436, Pakistan
Eskandar Ameer
Department of Mathematics, Taiz University, Taiz P.O. Box 6803, Yemen
Nabil Mlaiki
Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
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.
