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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| _version_ | 1832551342842839040 |
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| author | Hasanen A. Hammad Hassen Aydi Yaé Ulrich Gaba |
| author_facet | Hasanen A. Hammad Hassen Aydi Yaé Ulrich Gaba |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-eb74d3a439ba4470b8e69332558633fd |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-eb74d3a439ba4470b8e69332558633fd2025-02-03T06:01:48ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66137746613774Exciting Fixed Point Results on a Novel Space with Supportive ApplicationsHasanen A. Hammad0Hassen Aydi1Yaé Ulrich Gaba2Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, EgyptUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South AfricaThe 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.http://dx.doi.org/10.1155/2021/6613774 |
| spellingShingle | Hasanen A. Hammad Hassen Aydi Yaé Ulrich Gaba Exciting Fixed Point Results on a Novel Space with Supportive Applications Journal of Function Spaces |
| title | Exciting Fixed Point Results on a Novel Space with Supportive Applications |
| title_full | Exciting Fixed Point Results on a Novel Space with Supportive Applications |
| title_fullStr | Exciting Fixed Point Results on a Novel Space with Supportive Applications |
| title_full_unstemmed | Exciting Fixed Point Results on a Novel Space with Supportive Applications |
| title_short | Exciting Fixed Point Results on a Novel Space with Supportive Applications |
| title_sort | exciting fixed point results on a novel space with supportive applications |
| url | http://dx.doi.org/10.1155/2021/6613774 |
| work_keys_str_mv | AT hasanenahammad excitingfixedpointresultsonanovelspacewithsupportiveapplications AT hassenaydi excitingfixedpointresultsonanovelspacewithsupportiveapplications AT yaeulrichgaba excitingfixedpointresultsonanovelspacewithsupportiveapplications |