On Certain Fixed Point Theorems in Sb-Metric Spaces With Applications
In this paper, we introduce the notion of generalized (α, φ, ψ)- Geraghty contractive type mappings in the setup of Sb-metric spaces and α-orbital admissible mappings with respect to φ. Furthermore, the fixed-point theorems for such mappings in complete Sb-metric spaces are proven without assuming t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2023-03-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2717 |
| _version_ | 1827917279992479744 |
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| author | N. Mangapathi B. Srinuvasa Rao K.R.K. Rao M.I. Pasha |
| author_facet | N. Mangapathi B. Srinuvasa Rao K.R.K. Rao M.I. Pasha |
| author_sort | N. Mangapathi |
| collection | DOAJ |
| description | In this paper, we introduce the notion of generalized (α, φ, ψ)- Geraghty contractive type mappings in the setup of Sb-metric spaces and α-orbital admissible mappings with respect to φ. Furthermore, the fixed-point theorems for such mappings in complete Sb-metric spaces are proven without assuming the subadditivity of ψ. Some examples are provided for supporting of our main results. Also, we gave an application to integral equations as well as Homotopy. |
| first_indexed | 2024-03-13T03:26:34Z |
| format | Article |
| id | doaj.art-a5fbe42d297d4a48b08bb86e32db03db |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-03-13T03:26:34Z |
| publishDate | 2023-03-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-a5fbe42d297d4a48b08bb86e32db03db2023-06-25T06:29:47ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392023-03-0121181810.28924/2291-8639-21-2023-182102On Certain Fixed Point Theorems in Sb-Metric Spaces With ApplicationsN. MangapathiB. Srinuvasa RaoK.R.K. RaoM.I. PashaIn this paper, we introduce the notion of generalized (α, φ, ψ)- Geraghty contractive type mappings in the setup of Sb-metric spaces and α-orbital admissible mappings with respect to φ. Furthermore, the fixed-point theorems for such mappings in complete Sb-metric spaces are proven without assuming the subadditivity of ψ. Some examples are provided for supporting of our main results. Also, we gave an application to integral equations as well as Homotopy.http://etamaths.com/index.php/ijaa/article/view/2717 |
| spellingShingle | N. Mangapathi B. Srinuvasa Rao K.R.K. Rao M.I. Pasha On Certain Fixed Point Theorems in Sb-Metric Spaces With Applications International Journal of Analysis and Applications |
| title | On Certain Fixed Point Theorems in Sb-Metric Spaces With Applications |
| title_full | On Certain Fixed Point Theorems in Sb-Metric Spaces With Applications |
| title_fullStr | On Certain Fixed Point Theorems in Sb-Metric Spaces With Applications |
| title_full_unstemmed | On Certain Fixed Point Theorems in Sb-Metric Spaces With Applications |
| title_short | On Certain Fixed Point Theorems in Sb-Metric Spaces With Applications |
| title_sort | on certain fixed point theorems in sb metric spaces with applications |
| url | http://etamaths.com/index.php/ijaa/article/view/2717 |
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