Generalized Wardowski type contractive mappings in b-metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem.
In the realm of b-metric spaces, this study introduces a novel generalized Wardowski-type quasi-contraction, denoted as β-(θ, ϑ). We begin by applying this new contraction to derive standard fixed point results. Subsequently, we establish the existence of a generalized quasi-contraction of the Wardo...
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2024-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0313033 |
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| _version_ | 1850281452521914368 |
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| author | Maryam Iqbal Afshan Batool Aftab Hussain Hamed Al Sulami |
| author_facet | Maryam Iqbal Afshan Batool Aftab Hussain Hamed Al Sulami |
| author_sort | Maryam Iqbal |
| collection | DOAJ |
| description | In the realm of b-metric spaces, this study introduces a novel generalized Wardowski-type quasi-contraction, denoted as β-(θ, ϑ). We begin by applying this new contraction to derive standard fixed point results. Subsequently, we establish the existence of a generalized quasi-contraction of the Wardowski type, thereby validating the robustness of our findings. Specifically, we utilize Nadler's work to model biological ecosystems and apply our results to solve an optimization problem. To illustrate the practical implications and effectiveness of our approach, we provide a comparative analysis between our results and those of Nadler. This comprehensive study underscores the significance and utility of our generalized contraction in both theoretical and applied contexts. |
| format | Article |
| id | doaj-art-f072ae55b9684e3aa169e0a51ec5ae4d |
| institution | OA Journals |
| issn | 1932-6203 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj-art-f072ae55b9684e3aa169e0a51ec5ae4d2025-08-20T01:48:19ZengPublic Library of Science (PLoS)PLoS ONE1932-62032024-01-011912e031303310.1371/journal.pone.0313033Generalized Wardowski type contractive mappings in b-metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem.Maryam IqbalAfshan BatoolAftab HussainHamed Al SulamiIn the realm of b-metric spaces, this study introduces a novel generalized Wardowski-type quasi-contraction, denoted as β-(θ, ϑ). We begin by applying this new contraction to derive standard fixed point results. Subsequently, we establish the existence of a generalized quasi-contraction of the Wardowski type, thereby validating the robustness of our findings. Specifically, we utilize Nadler's work to model biological ecosystems and apply our results to solve an optimization problem. To illustrate the practical implications and effectiveness of our approach, we provide a comparative analysis between our results and those of Nadler. This comprehensive study underscores the significance and utility of our generalized contraction in both theoretical and applied contexts.https://doi.org/10.1371/journal.pone.0313033 |
| spellingShingle | Maryam Iqbal Afshan Batool Aftab Hussain Hamed Al Sulami Generalized Wardowski type contractive mappings in b-metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem. PLoS ONE |
| title | Generalized Wardowski type contractive mappings in b-metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem. |
| title_full | Generalized Wardowski type contractive mappings in b-metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem. |
| title_fullStr | Generalized Wardowski type contractive mappings in b-metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem. |
| title_full_unstemmed | Generalized Wardowski type contractive mappings in b-metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem. |
| title_short | Generalized Wardowski type contractive mappings in b-metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem. |
| title_sort | generalized wardowski type contractive mappings in b metric spaces and some fixed point results with applications in optimization problem and modeling biological ecosystem |
| url | https://doi.org/10.1371/journal.pone.0313033 |
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