Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an Application
In the present study, we define hybrid enriched contractions of the Hardy–Rogers type and of the Ćirić–Reich–Rus type in the framework of convex metric space. We demonstrate the presence and the approximation of fixed points for contraction mappings by using Krasnoselskij iteration. The main conclus...
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MDPI AG
2024-11-01
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| author | Bhumika Rani Jatinderdeep Kaur Satvinder Singh Bhatia |
| author_facet | Bhumika Rani Jatinderdeep Kaur Satvinder Singh Bhatia |
| author_sort | Bhumika Rani |
| collection | DOAJ |
| description | In the present study, we define hybrid enriched contractions of the Hardy–Rogers type and of the Ćirić–Reich–Rus type in the framework of convex metric space. We demonstrate the presence and the approximation of fixed points for contraction mappings by using Krasnoselskij iteration. The main conclusions of this study are shown to be corollaries or implications of multiple important fixed point theory findings. Some examples have also been provided to show the validity of our results. Towards the end of this paper, we study the solution of the nonlinear equations as an application of our main results. |
| format | Article |
| id | doaj-art-8ba7e9d6c8ff47fab96415d9f827a227 |
| institution | DOAJ |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-8ba7e9d6c8ff47fab96415d9f827a2272025-08-20T02:53:34ZengMDPI AGAxioms2075-16802024-11-01131281510.3390/axioms13120815Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an ApplicationBhumika Rani0Jatinderdeep Kaur1Satvinder Singh Bhatia2Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, IndiaDepartment of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, IndiaDepartment of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147004, Punjab, IndiaIn the present study, we define hybrid enriched contractions of the Hardy–Rogers type and of the Ćirić–Reich–Rus type in the framework of convex metric space. We demonstrate the presence and the approximation of fixed points for contraction mappings by using Krasnoselskij iteration. The main conclusions of this study are shown to be corollaries or implications of multiple important fixed point theory findings. Some examples have also been provided to show the validity of our results. Towards the end of this paper, we study the solution of the nonlinear equations as an application of our main results.https://www.mdpi.com/2075-1680/13/12/815hybrid contractionenriched contractionfixed pointconvex metric |
| spellingShingle | Bhumika Rani Jatinderdeep Kaur Satvinder Singh Bhatia Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an Application Axioms hybrid contraction enriched contraction fixed point convex metric |
| title | Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an Application |
| title_full | Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an Application |
| title_fullStr | Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an Application |
| title_full_unstemmed | Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an Application |
| title_short | Approximating Fixed Points via Hybrid Enriched Contractions in Convex Metric Space with an Application |
| title_sort | approximating fixed points via hybrid enriched contractions in convex metric space with an application |
| topic | hybrid contraction enriched contraction fixed point convex metric |
| url | https://www.mdpi.com/2075-1680/13/12/815 |
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