Fixed point results for almost ($ \zeta -\theta _{\rho } $)-contractions on quasi metric spaces and an application
This research paper investigated fixed point results for almost ($ \zeta-\theta _{\rho } $)-contractions in the context of quasi-metric spaces. The study focused on a specific class of ($ \zeta -\theta _{\rho } $)-contractions, which exhibit a more relaxed form of contractive property than classical...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024039?viewType=HTML |
| _version_ | 1797360144634347520 |
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| author | Gonca Durmaz Güngör Ishak Altun |
| author_facet | Gonca Durmaz Güngör Ishak Altun |
| author_sort | Gonca Durmaz Güngör |
| collection | DOAJ |
| description | This research paper investigated fixed point results for almost ($ \zeta-\theta _{\rho } $)-contractions in the context of quasi-metric spaces. The study focused on a specific class of ($ \zeta -\theta _{\rho } $)-contractions, which exhibit a more relaxed form of contractive property than classical contractions. The research not only established the existence of fixed points under the almost ($ \zeta -\theta _{\rho } $)-contraction framework but also provided sufficient conditions for the convergence of fixed point sequences. The proposed theorems and proofs contributed to the advancement of the theory of fixed points in quasi-metric spaces, shedding light on the intricate interplay between contraction-type mappings and the underlying space's quasi-metric structure. Furthermore, an application of these results was presented, highlighting the practical significance of the established theory. The application demonstrated how the theory of almost ($ \zeta -\theta _{\rho } $)-contractions in quasi-metric spaces can be utilized to solve real-world problems. |
| first_indexed | 2024-03-08T15:35:06Z |
| format | Article |
| id | doaj.art-f35e07b6ede847c3acdf58023d6b0548 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-08T15:35:06Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-f35e07b6ede847c3acdf58023d6b05482024-01-10T01:23:29ZengAIMS PressAIMS Mathematics2473-69882024-01-019176377410.3934/math.2024039Fixed point results for almost ($ \zeta -\theta _{\rho } $)-contractions on quasi metric spaces and an applicationGonca Durmaz Güngör0Ishak Altun11. Department of Mathematics, Faculty of Science, Çankırı Karatekin University, 18100 Çankırı, Turkey2. Department of Mathematics, Faculty of Enginearing and Natural Science, Kirikkale University, Yahsihan 71450, Kirikkale, TurkeyThis research paper investigated fixed point results for almost ($ \zeta-\theta _{\rho } $)-contractions in the context of quasi-metric spaces. The study focused on a specific class of ($ \zeta -\theta _{\rho } $)-contractions, which exhibit a more relaxed form of contractive property than classical contractions. The research not only established the existence of fixed points under the almost ($ \zeta -\theta _{\rho } $)-contraction framework but also provided sufficient conditions for the convergence of fixed point sequences. The proposed theorems and proofs contributed to the advancement of the theory of fixed points in quasi-metric spaces, shedding light on the intricate interplay between contraction-type mappings and the underlying space's quasi-metric structure. Furthermore, an application of these results was presented, highlighting the practical significance of the established theory. The application demonstrated how the theory of almost ($ \zeta -\theta _{\rho } $)-contractions in quasi-metric spaces can be utilized to solve real-world problems.https://www.aimspress.com/article/doi/10.3934/math.2024039?viewType=HTMLquasi metric space($ \zeta -\theta _{\rho} $)-contractionleft $ k $-completeness |
| spellingShingle | Gonca Durmaz Güngör Ishak Altun Fixed point results for almost ($ \zeta -\theta _{\rho } $)-contractions on quasi metric spaces and an application AIMS Mathematics quasi metric space ($ \zeta -\theta _{\rho} $)-contraction left $ k $-completeness |
| title | Fixed point results for almost ($ \zeta -\theta _{\rho } $)-contractions on quasi metric spaces and an application |
| title_full | Fixed point results for almost ($ \zeta -\theta _{\rho } $)-contractions on quasi metric spaces and an application |
| title_fullStr | Fixed point results for almost ($ \zeta -\theta _{\rho } $)-contractions on quasi metric spaces and an application |
| title_full_unstemmed | Fixed point results for almost ($ \zeta -\theta _{\rho } $)-contractions on quasi metric spaces and an application |
| title_short | Fixed point results for almost ($ \zeta -\theta _{\rho } $)-contractions on quasi metric spaces and an application |
| title_sort | fixed point results for almost zeta theta rho contractions on quasi metric spaces and an application |
| topic | quasi metric space ($ \zeta -\theta _{\rho} $)-contraction left $ k $-completeness |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024039?viewType=HTML |
| work_keys_str_mv | AT goncadurmazgungor fixedpointresultsforalmostzetathetarhocontractionsonquasimetricspacesandanapplication AT ishakaltun fixedpointresultsforalmostzetathetarhocontractionsonquasimetricspacesandanapplication |