Fixed point results in $ \mathcal{C}^\star $-algebra-valued bipolar metric spaces with an application-Reference-Cited by-同舟云学术

Fixed point results in $ \mathcal{C}^\star $-algebra-valued bipolar metric spaces with an application

Published:2023 Issue:4 Volume:8 Page:7695-7713
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mani Gunaseelan¹,Gnanaprakasam Arul Joseph²,Işık Hüseyin³,Jarad Fahd⁴⁵

Affiliation:

1. Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, 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 Engineering Science, Bandırma Onyedi Eylül University, Bandırma 10200, Balıkesir, Turkey

4. Department of Mathematics, Cankaya University, 06790 Etimesgut, Ankara, Turkey

5. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Abstract

<abstract><p>In this work, we prove existence and uniqueness fixed point theorems under Banach and Kannan type contractions on $ \mathcal{C}^{\star} $-algebra-valued bipolar metric spaces. To strengthen our main results, an appropriate example and an effective application are presented.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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