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Symmetry
Volume 12
Issue 5
10.3390/sym12050832
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Article

New Fixed Point Theorems in Orthogonal F -Metric Spaces with Application to Fractional Differential Equation

by
Tanzeela Kanwal
1,
Azhar Hussain
2,3,*,
Hamid Baghani
4 and
Manuel de la Sen
5
1
Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan
2
Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
3
Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
4
Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan P.O. Box 98155-987, Iran
5
Institute of Research and Development of Processes IIDP University of the Basque Country Campus of Leioa, PO Box 48940, Leioa, 48940 Bizkaia, Spain
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(5), 832; https://doi.org/10.3390/sym12050832
Submission received: 27 March 2020 / Revised: 27 April 2020 / Accepted: 6 May 2020 / Published: 19 May 2020
(This article belongs to the Special Issue Fixed Point Theory and Computational Analysis with Applications)
Versions Notes

Abstract

We present the notion of orthogonal F -metric spaces and prove some fixed and periodic point theorems for orthogonal ⊥ Ω -contraction. We give a nontrivial example to prove the validity of our result. Finally, as application, we prove the existence and uniqueness of the solution of a nonlinear fractional differential equation.
Keywords: orthogonal set; ℱ-metric space; Banach fixed point theorem orthogonal set; ℱ-metric space; Banach fixed point theorem

Share and Cite

MDPI and ACS Style

Kanwal, T.; Hussain, A.; Baghani, H.; de la Sen, M. New Fixed Point Theorems in Orthogonal F -Metric Spaces with Application to Fractional Differential Equation. Symmetry 2020, 12, 832. https://doi.org/10.3390/sym12050832

AMA Style

Kanwal T, Hussain A, Baghani H, de la Sen M. New Fixed Point Theorems in Orthogonal F -Metric Spaces with Application to Fractional Differential Equation. Symmetry. 2020; 12(5):832. https://doi.org/10.3390/sym12050832

Chicago/Turabian Style

Kanwal, Tanzeela, Azhar Hussain, Hamid Baghani, and Manuel de la Sen. 2020. "New Fixed Point Theorems in Orthogonal F -Metric Spaces with Application to Fractional Differential Equation" Symmetry 12, no. 5: 832. https://doi.org/10.3390/sym12050832

APA Style

Kanwal, T., Hussain, A., Baghani, H., & de la Sen, M. (2020). New Fixed Point Theorems in Orthogonal F -Metric Spaces with Application to Fractional Differential Equation. Symmetry, 12(5), 832. https://doi.org/10.3390/sym12050832

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