Exciting Fixed Point Results on a Novel Space with Supportive Applications. (28th January 2021)

• Record Type: Journal Article
• Authors: Hammad, Hasanen A.; Aydi, Hassen; Gaba, Yaé Ulrich
• Other Names: Vijayakumar V. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-01-28
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/6613774
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The goal of this paper is to present a new space, a complex valued controlled rectangular b -metric space (for short, υ ℂ -metric space). Some examples and topological properties of υ ℂ -metric spaces are given. Also, some related common fixed point results are discussed. Our results generalize a lot of works in this direction. Moreover, we apply the theoretical results to find a unique solution of a complex valued Atangana-Baleanu fractional integral operator and a system of complex linear equations. Finally, a numerical example to find the current that passes through the RLC circuit is illustrated.