Fixed point results on locally ( δ , ϕ ) $(\delta , \phi )$ -dominated and ( δ , ϕ ) $(\delta , \phi )$ -continuous mappings in dislocated quasi metric spaces
Abstract In this article, some concepts of locally ( δ , ϕ ) $(\delta ,\phi )$ -dominated mappings, locally ( δ , ϕ ) $(\delta ,\phi )$ -continuous mappings and L R − ( δ , ϕ ) $LR-(\delta ,\phi )$ complete dislocated quasi-metric spaces have been introduced. Fixed point results for such mappings un...
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SpringerOpen
2024-12-01
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| Series: | Journal of Inequalities and Applications |
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| Online Access: | https://doi.org/10.1186/s13660-024-03242-x |
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| author | Abdullah Shoaib Mazhar Mehmood |
| author_facet | Abdullah Shoaib Mazhar Mehmood |
| author_sort | Abdullah Shoaib |
| collection | DOAJ |
| description | Abstract In this article, some concepts of locally ( δ , ϕ ) $(\delta ,\phi )$ -dominated mappings, locally ( δ , ϕ ) $(\delta ,\phi )$ -continuous mappings and L R − ( δ , ϕ ) $LR-(\delta ,\phi )$ complete dislocated quasi-metric spaces have been introduced. Fixed point results for such mappings under new contractive conditions in these spaces have been established. As an application, fixed point results endowed with order and graph in such spaces have been examined. Furthermore, the results are substantiated with specific examples. Our empirically validated results represent a novel contribution to the existing body of literature. |
| format | Article |
| id | doaj-art-6dd60d5c0b4e4169818d5b7e8a3af002 |
| institution | OA Journals |
| issn | 1029-242X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj-art-6dd60d5c0b4e4169818d5b7e8a3af0022025-08-20T02:31:52ZengSpringerOpenJournal of Inequalities and Applications1029-242X2024-12-012024112010.1186/s13660-024-03242-xFixed point results on locally ( δ , ϕ ) $(\delta , \phi )$ -dominated and ( δ , ϕ ) $(\delta , \phi )$ -continuous mappings in dislocated quasi metric spacesAbdullah Shoaib0Mazhar Mehmood1Department of Mathematics and Statistics, Riphah International UniversityDepartment of Mathematics, Government Postgraduate CollegeAbstract In this article, some concepts of locally ( δ , ϕ ) $(\delta ,\phi )$ -dominated mappings, locally ( δ , ϕ ) $(\delta ,\phi )$ -continuous mappings and L R − ( δ , ϕ ) $LR-(\delta ,\phi )$ complete dislocated quasi-metric spaces have been introduced. Fixed point results for such mappings under new contractive conditions in these spaces have been established. As an application, fixed point results endowed with order and graph in such spaces have been examined. Furthermore, the results are substantiated with specific examples. Our empirically validated results represent a novel contribution to the existing body of literature.https://doi.org/10.1186/s13660-024-03242-xFixed pointLR-Cauchy sequenceLR- ( δ , ϕ ) $(\delta ,\phi )$ complete dislocated quasi metric spaceLocally ( δ , ϕ ) $(\delta ,\phi )$ -dominated mappingsLocally ( δ , ϕ ) $(\delta ,\phi )$ -continuous mappings |
| spellingShingle | Abdullah Shoaib Mazhar Mehmood Fixed point results on locally ( δ , ϕ ) $(\delta , \phi )$ -dominated and ( δ , ϕ ) $(\delta , \phi )$ -continuous mappings in dislocated quasi metric spaces Journal of Inequalities and Applications Fixed point LR-Cauchy sequence LR- ( δ , ϕ ) $(\delta ,\phi )$ complete dislocated quasi metric space Locally ( δ , ϕ ) $(\delta ,\phi )$ -dominated mappings Locally ( δ , ϕ ) $(\delta ,\phi )$ -continuous mappings |
| title | Fixed point results on locally ( δ , ϕ ) $(\delta , \phi )$ -dominated and ( δ , ϕ ) $(\delta , \phi )$ -continuous mappings in dislocated quasi metric spaces |
| title_full | Fixed point results on locally ( δ , ϕ ) $(\delta , \phi )$ -dominated and ( δ , ϕ ) $(\delta , \phi )$ -continuous mappings in dislocated quasi metric spaces |
| title_fullStr | Fixed point results on locally ( δ , ϕ ) $(\delta , \phi )$ -dominated and ( δ , ϕ ) $(\delta , \phi )$ -continuous mappings in dislocated quasi metric spaces |
| title_full_unstemmed | Fixed point results on locally ( δ , ϕ ) $(\delta , \phi )$ -dominated and ( δ , ϕ ) $(\delta , \phi )$ -continuous mappings in dislocated quasi metric spaces |
| title_short | Fixed point results on locally ( δ , ϕ ) $(\delta , \phi )$ -dominated and ( δ , ϕ ) $(\delta , \phi )$ -continuous mappings in dislocated quasi metric spaces |
| title_sort | fixed point results on locally δ ϕ delta phi dominated and δ ϕ delta phi continuous mappings in dislocated quasi metric spaces |
| topic | Fixed point LR-Cauchy sequence LR- ( δ , ϕ ) $(\delta ,\phi )$ complete dislocated quasi metric space Locally ( δ , ϕ ) $(\delta ,\phi )$ -dominated mappings Locally ( δ , ϕ ) $(\delta ,\phi )$ -continuous mappings |
| url | https://doi.org/10.1186/s13660-024-03242-x |
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