The Study of Bicomplex-Valued Controlled Metric Spaces with Applications to Fractional Differential Equations

Gunaseelan Mani, Salma Haque, Arul Joseph Gnanaprakasam, Ozgur Ege and Nabil Mlaiki ()
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Gunaseelan Mani: Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamil Nadu, India
Salma Haque: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Arul Joseph Gnanaprakasam: Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Tamil Nadu, India
Ozgur Ege: Department of Mathematics, Ege University, Bornova, 35100 Izmir, Turkey
Nabil Mlaiki: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Mathematics, 2023, vol. 11, issue 12, 1-19

Abstract: In this paper, we introduce the concept of bicomplex-valued controlled metric spaces and prove fixed point theorems. Our results mainly focus on generalizing and expanding some recently established results. Finally, we explain an application of our main result to a certain type of fractional differential equation.

Keywords: controlled-type metric spaces; bicomplex-valued controlled metric spaces; integral equation; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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