Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction
In this paper, we present new concepts on completeness of Hardy–Rogers type contraction mappings in metric space to prove the existence of fixed points. Furthermore, we introduce the concept of g-interpolative Hardy–Rogers type contractions in b-metric spaces to prove the existence of the coincidenc...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9992783 |
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| author | Youssef Errai El Miloudi Marhrani Mohamed Aamri |
| author_facet | Youssef Errai El Miloudi Marhrani Mohamed Aamri |
| author_sort | Youssef Errai |
| collection | DOAJ |
| description | In this paper, we present new concepts on completeness of Hardy–Rogers type contraction mappings in metric space to prove the existence of fixed points. Furthermore, we introduce the concept of g-interpolative Hardy–Rogers type contractions in b-metric spaces to prove the existence of the coincidence point. Lastly, we add a third concept, interpolative weakly contractive mapping type, Ćirić–Reich–Rus, to show the existence of fixed points. These results are a generalization of previous results, which we have reinforced with examples. |
| format | Article |
| id | doaj-art-2f425a1cb05746b7adbc706004273520 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2f425a1cb05746b7adbc7060042735202025-02-03T06:05:45ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99927839992783Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type ContractionYoussef Errai0El Miloudi Marhrani1Mohamed Aamri2Laboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, B.P 7955, Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, B.P 7955, Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, B.P 7955, Sidi Othmane, Casablanca, MoroccoIn this paper, we present new concepts on completeness of Hardy–Rogers type contraction mappings in metric space to prove the existence of fixed points. Furthermore, we introduce the concept of g-interpolative Hardy–Rogers type contractions in b-metric spaces to prove the existence of the coincidence point. Lastly, we add a third concept, interpolative weakly contractive mapping type, Ćirić–Reich–Rus, to show the existence of fixed points. These results are a generalization of previous results, which we have reinforced with examples.http://dx.doi.org/10.1155/2021/9992783 |
| spellingShingle | Youssef Errai El Miloudi Marhrani Mohamed Aamri Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction Journal of Mathematics |
| title | Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction |
| title_full | Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction |
| title_fullStr | Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction |
| title_full_unstemmed | Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction |
| title_short | Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction |
| title_sort | some new results of interpolative hardy rogers and ciric reich rus type contraction |
| url | http://dx.doi.org/10.1155/2021/9992783 |
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