Fixed point results via a new class of Ad-contractions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916853928951808 |
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| author | Panthi, Prasun Panthi, Dinesh |
| author_facet | Panthi, Prasun Panthi, Dinesh |
| contents | In this article, a new class of operators, termed Ad-contractions, is introduced to extend the framework of A-contractions to the setting of dislocated metric spaces. Fixed point results are established for single mappings, sequences of mappings, integral type contractions, and for mappings on a set with two dislocated metrics. The demonstrated theorems generalize foundational results on A-contractions and their integral-type variations to the more challenging setting of dislocated metric spaces. The work is supported by illustrative examples. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_15635 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fixed point results via a new class of Ad-contractions Panthi, Prasun Panthi, Dinesh General Topology Functional Analysis 47H10, 54H25, 54E50 In this article, a new class of operators, termed Ad-contractions, is introduced to extend the framework of A-contractions to the setting of dislocated metric spaces. Fixed point results are established for single mappings, sequences of mappings, integral type contractions, and for mappings on a set with two dislocated metrics. The demonstrated theorems generalize foundational results on A-contractions and their integral-type variations to the more challenging setting of dislocated metric spaces. The work is supported by illustrative examples. |
| title | Fixed point results via a new class of Ad-contractions |
| topic | General Topology Functional Analysis 47H10, 54H25, 54E50 |
| url | https://arxiv.org/abs/2507.15635 |