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 language | English |
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Article number | 6613774 |
Journal | Journal of Function Spaces |
Volume | 2021 |
DOIs | |
Publication status | Published - 2021 |
Externally published | Yes |