Coupled fixed point theorems on $ \mathcal{C}^\star $-algebra valued bipolar metric spaces

Gunaseelan Mani; Arul Joseph Gnanaprakasam; Absar Ul Haq; Imran Abbas Baloch; Fahd Jarad; Gunaseelan Mani; Arul Joseph Gnanaprakasam; Absar Ul Haq; Imran Abbas Baloch; Fahd Jarad

doi:10.3934/math.2022424

AIMS Mathematics

2022, Volume 7, Issue 5: 7552-7568. doi: 10.3934/math.2022424

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Research article

Coupled fixed point theorems on $ \mathcal{C}^\star $-algebra valued bipolar metric spaces

1.
Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602 105, Tamil Nadu, India
2.
Department of Mathematics, College of Engineering and Technology, Faculty of Engineering and Technology, SRM Institute of Science and Technology, SRM Nagar, Kattankulathur 603203, Kanchipuram, Chennai, Tamil Nadu, India
3.
Department of Natural Sciences and Humanities, University of Engineering and Technology (Narowal Campus), Lahore 54000, Pakistan
4.
Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
5.
Higher Education Department, Govt. Graduate College for Boys Gulberg Lahore, Punjab, Pakistan
6.
Department of Mathematics, Çankaya University, Etimesgut 06790, Ankara, Turkey
7.
Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
8.
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Received: 20 December 2021 Revised: 05 February 2022 Accepted: 09 February 2022 Published: 15 February 2022
MSC : 47H10, 54H25, 54C30

In the present paper, we introduce the notion of a $ \mathcal{C}^{\star} $-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An example and application to support our result is presented.
- $ \mathcal{C}^\star $-algebra,
- $ \mathcal{C}^\star $-algebra valued bipolar metric space,
- coupled fixed point
Citation: Gunaseelan Mani, Arul Joseph Gnanaprakasam, Absar Ul Haq, Imran Abbas Baloch, Fahd Jarad. Coupled fixed point theorems on $ \mathcal{C}^\star $-algebra valued bipolar metric spaces[J]. AIMS Mathematics, 2022, 7(5): 7552-7568. doi: 10.3934/math.2022424

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Abstract

In the present paper, we introduce the notion of a $ \mathcal{C}^{\star} $-algebra valued bipolar metric space and prove coupled fixed point theorems. Some of the well-known outcomes in the literature are generalized and expanded by the results shown. An example and application to support our result is presented.

References

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