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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6613774 |
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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. |
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| ISSN: | 2314-8896 2314-8888 |