Common Fixed Point Theorems on Tricomplex Valued Metric Space

Author:

Mani Gunaseelan1ORCID,Gnanaprakasam Arul Joseph2ORCID,Haq Absar Ul3,Baloch Imran Abbas45,Jarad Fahd67ORCID

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, 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 Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Abstract

In this paper, we introduce the notion of tricomplex valued metric space and prove some common fixed point theorems. The presented results generalize and expand some of the literature well-known results. We also explore some applications of our key results.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Reference23 articles.

1. Handbook of Metric Fixed Point Theory

2. Metric Fixed Point Theory

3. Some results on fixed points of α-ψ-Ciric generalized multifunctions

4. On J -Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems

5. Some fixed point theorems for nonexpansive self-mappings and multi-valued mappings in b-metric spaces;B. Mohammadi;Journal of Mathematical Extension,2020

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