Exciting Fixed Point Results on a Novel Space with Supportive Applications
Keyword(s):
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.
2021 ◽
Vol 29
(1)
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pp. 165-182
2016 ◽
Vol 21
(2)
◽
pp. 211-22
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2016 ◽
Vol 17
◽
pp. 8-18
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Keyword(s):