Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces
In this present study, we propose the concept of tricomplex-controlled metric spaces as a generalization of both controlled metric-type spaces and tricomplex metric-type spaces. In this work, we establish fixed point results using Banach, Kannan and Fisher-type contractions supported with nontrivial...
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| Format: | Article |
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MDPI AG
2023-01-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/1/56 |
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| author | Rajagopalan Ramaswamy Gunaseelan Mani Arul Joseph Gnanaprakasam Ola A. Ashour Abdelnaby Stojan Radenović |
| author_facet | Rajagopalan Ramaswamy Gunaseelan Mani Arul Joseph Gnanaprakasam Ola A. Ashour Abdelnaby Stojan Radenović |
| author_sort | Rajagopalan Ramaswamy |
| collection | DOAJ |
| description | In this present study, we propose the concept of tricomplex-controlled metric spaces as a generalization of both controlled metric-type spaces and tricomplex metric-type spaces. In this work, we establish fixed point results using Banach, Kannan and Fisher-type contractions supported with nontrivial examples in the setting of the proposed space. We apply the derived result to find the analytical solution of an integral equation using the fixed point technique under the same metric. |
| first_indexed | 2024-03-09T13:36:05Z |
| format | Article |
| id | doaj.art-7648f895544940129814324d73adc1e8 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T13:36:05Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-7648f895544940129814324d73adc1e82023-11-30T21:11:42ZengMDPI AGAxioms2075-16802023-01-011215610.3390/axioms12010056Solving an Integral Equation via Tricomplex-Valued Controlled Metric SpacesRajagopalan Ramaswamy0Gunaseelan Mani1Arul Joseph Gnanaprakasam2Ola A. Ashour Abdelnaby3Stojan Radenović4Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, IndiaDepartment of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur, Chennai 603203, IndiaDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrad, SerbiaIn this present study, we propose the concept of tricomplex-controlled metric spaces as a generalization of both controlled metric-type spaces and tricomplex metric-type spaces. In this work, we establish fixed point results using Banach, Kannan and Fisher-type contractions supported with nontrivial examples in the setting of the proposed space. We apply the derived result to find the analytical solution of an integral equation using the fixed point technique under the same metric.https://www.mdpi.com/2075-1680/12/1/56controlled metric-type spacestricomplex-valued controlled metric spacesfixed pointintegral equation |
| spellingShingle | Rajagopalan Ramaswamy Gunaseelan Mani Arul Joseph Gnanaprakasam Ola A. Ashour Abdelnaby Stojan Radenović Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces Axioms controlled metric-type spaces tricomplex-valued controlled metric spaces fixed point integral equation |
| title | Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces |
| title_full | Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces |
| title_fullStr | Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces |
| title_full_unstemmed | Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces |
| title_short | Solving an Integral Equation via Tricomplex-Valued Controlled Metric Spaces |
| title_sort | solving an integral equation via tricomplex valued controlled metric spaces |
| topic | controlled metric-type spaces tricomplex-valued controlled metric spaces fixed point integral equation |
| url | https://www.mdpi.com/2075-1680/12/1/56 |
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