Exciting Fixed Point Results on a Novel Space with Supportive Applications

The goal of this paper is to present a new space, a complex valued controlled rectangular b-metric space (for short, υℂ-metric space). Some examples and topological properties of υℂ-metric spaces are given. Also, some related common fixed point results are discussed. Our results generalize a lot of...

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Bibliographic Details
Published inJournal of function spaces Vol. 2021; pp. 1 - 12
Main Authors Hammad, Hasanen A., Aydi, Hassen, Gaba, Yaé Ulrich
Format Journal Article
LanguageEnglish
Published New York Hindawi 2021
Hindawi Limited
Subjects
Linear equations
Metric space
Operators (mathematics)
RLC circuits
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Summary:The goal of this paper is to present a new space, a complex valued controlled rectangular b-metric space (for short, υℂ-metric space). Some examples and topological properties of υℂ-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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/6613774