Fixed point theory in complex valued controlled metric spaces with an application-Reference-Cited by-同舟云学术

Fixed point theory in complex valued controlled metric spaces with an application

Published:2022 Issue:7 Volume:7 Page:11879-11904
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Aslam Muhammad Suhail¹,Chowdhury Mohammad Showkat Rahim¹,Guran Liliana²,Alqudah Manar A.³,Abdeljawad Thabet⁴⁵

Affiliation:

1. Department of Mathematics and Statistics, Faculty of Science, University of Lahore, Lahore, Pakistan

2. Department of Pharmaceutical Sciences, "Vasile Goldiş" Western University of Arad, Arad, L. Rebreanu Street, No. 86, 310048, Romania

3. Department Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P.O.Box 84428, Riyadh 11671, Saudi Arabia

4. Department of Mathematics and Sciences, Prince Sultan University, P.O.Box 66833, Riyadh 11586, Saudi Arabia

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

Abstract

<abstract><p>In this article we have introduced a metric named complex valued controlled metric type space, more generalized form of controlled metric type spaces. This concept is a new extension of the concept complex valued $ b $-metric type space and this one is different from complex valued extended $ b $-metric space. Using the idea of this new metric, some fixed point theorems involving Banach, Kannan and Fisher contractions type are proved. Some examples togetheran application are described to sustain our primary results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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