Solving a System of Nonlinear Integral Equations via Common Fixed Point Theorems on Bicomplex Partial Metric Space

Zhaohui Gu, Gunaseelan Mani, Arul Joseph Gnanaprakasam and Yongjin Li
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Zhaohui Gu: School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510006, China
Gunaseelan Mani: Department of Mathematics, Sri Sankara Arts and Science College (Autonomous), Affiliated to Madras University, Enathur, Kanchipuram 631 561, Tamil Nadu, India
Arul Joseph Gnanaprakasam: Department of Mathematics, Faculty of Engineering and Technology, College of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603 203, Tamil Nadu, India
Yongjin Li: Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

Mathematics, 2021, vol. 9, issue 14, 1-19

Abstract: In this paper, we introduce the notion of bicomplex partial metric space and prove some common fixed point theorems. The presented results generalize and expand some of the literature’s well-known results. An example and application on bicomplex partial metric space is given.

Keywords: integral equations; bicomplex partial metric space; common fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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