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Volume 10
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Article

An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions

by
Rajagopalan Ramaswamy
1,*,
Gunaseelan Mani
2,
Arul Joseph Gnanaprakasam
3,
Ola A. Ashour Abdelnaby
1,4 and
Stojan Radenović
5
1
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, AlKharj 11942, Saudi Arabia
2
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
3
Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India
4
Department of Mathematics, Cairo University, Cairo 12613, Egypt
5
Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia
*
Author to whom correspondence should be addressed.
Mathematics 2022, 10(18), 3344; https://doi.org/10.3390/math10183344
Submission received: 21 August 2022 / Revised: 9 September 2022 / Accepted: 11 September 2022 / Published: 15 September 2022
(This article belongs to the Special Issue New Advances in Functional Analysis)
Versions Notes

Abstract

In the present work, we establish fixed-point results for a pair of mappings satisfying some contractive conditions on rational expressions with coefficients as point-dependent control functions in the setting of tricomplex-valued metric spaces. The proven results are extension and generalisation of some of the literature’s well-known results. We also explore some of the applications to our key results.
Keywords: common fixed point; TVMS; complete TVMS; Cauchy sequence; fixed point common fixed point; TVMS; complete TVMS; Cauchy sequence; fixed point

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MDPI and ACS Style

Ramaswamy, R.; Mani, G.; Gnanaprakasam, A.J.; Abdelnaby, O.A.A.; Radenović, S. An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions. Mathematics 2022, 10, 3344. https://doi.org/10.3390/math10183344

AMA Style

Ramaswamy R, Mani G, Gnanaprakasam AJ, Abdelnaby OAA, Radenović S. An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions. Mathematics. 2022; 10(18):3344. https://doi.org/10.3390/math10183344

Chicago/Turabian Style

Ramaswamy, Rajagopalan, Gunaseelan Mani, Arul Joseph Gnanaprakasam, Ola A. Ashour Abdelnaby, and Stojan Radenović. 2022. "An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions" Mathematics 10, no. 18: 3344. https://doi.org/10.3390/math10183344

APA Style

Ramaswamy, R., Mani, G., Gnanaprakasam, A. J., Abdelnaby, O. A. A., & Radenović, S. (2022). An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions. Mathematics, 10(18), 3344. https://doi.org/10.3390/math10183344

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