Results on Complex Partial b-Metric Space with an Application-Reference-Cited by-同舟云学术

Results on Complex Partial b-Metric Space with an Application

Published:2021-04-09 Issue: Volume:2021 Page:1-10
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Mani Gunaseelan¹^ORCID,Gnanaprakasam Arul Joseph²,Kalaichelvan Ramakrishnan¹,Gaba Yaé Ulrich³⁴^ORCID

Affiliation:

1. Department of Mathematics, Sri Sankara Arts and Science College(Autonomous), Affiliated to Madras University, Enathur, Kanchipuram 631 561, 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, Kanchipuram, Chennai 603203, Tamil Nadu, India

3. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

4. African Center for Advanced Studies, P.O. Box 4477, Yaounde, Cameroon

Abstract

In this paper, we prove a fixed point theorem in complex partial

b

-metric space under new contraction mapping. The proved results generalize and extend some of the well-known results in the literature. We also give some applications of our main results.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2021/5565470.pdf

Reference23 articles.

1. The contraction mappings principle in quasi-metric spaces;I. A. Bakhtin;Functional Analysis,1989

2. Contraction mappings in b-metric spaces;S. Czerwick;Acta Mathematica et Informatica Universitatis Ostraviensis,1993

3. Common Fixed Point Theorems in Complex Valued Metric Spaces

4. A common fixed point theorem in complex valued b-metric spaces;K. P. R. Rao;Bulletin of Mathematics and Statistics Research,2013

5. Common fixed point theorems for mappings satisfying a contractive condition of rational expression on a ordered complex partial metric space

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