Complex-valued controlled rectangular metric type spaces and application to linear systems-Reference-Cited by-同舟云学术

Complex-valued controlled rectangular metric type spaces and application to linear systems

Published:2023 Issue:7 Volume:8 Page:16584-16598
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Azmi Fatima M.¹,Mlaiki Nabil¹,Haque Salma¹,Shatanawi Wasfi¹²

Affiliation:

1. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

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

Abstract

<abstract><p>Fixed point theory can be generalized to cover multidisciplinary areas such as computer science; it can also be used for image authentication to ensure secure communication and detect any malicious modifications. In this article, we introduce the notion of complex-valued controlled rectangular metric-type spaces, where we prove fixed point theorems for self-mappings in such spaces. Furthermore, we present several examples and give two applications of our main results: solving linear systems of equations and finding a unique solution for an equation of the form $ f(x) = 0 $.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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