Exciting Fixed Point Results on a Novel Space with Supportive Applications

Hasanen A. Hammad, Hassen Aydi, Yaé Ulrich Gaba

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number6613774
JournalJournal of Function Spaces
Volume2021
DOIs
Publication statusPublished - 2021
Externally publishedYes

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