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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-024-03242-x |
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| Summary: | 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. |
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| ISSN: | 1029-242X |