Common Fixed Points via Rational $φ$-Contractive Conditions in Orbitally Complete Metric Spaces
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918137627148288 |
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| author | R., Babu G. V. Negash, Alemayehu L., Sandhya M. Bogale, Meaza |
| author_facet | R., Babu G. V. Negash, Alemayehu L., Sandhya M. Bogale, Meaza |
| contents | We establish common fixed point theorems for two pairs of weakly compatible self-mappings using an auxiliary function of two variables. Unlike classical results, our theorems do not assume continuity of the mappings and require completeness of only one image set. The use of two-variable auxiliary functions allows us to unify and extend various existing fixed point theorems in metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06960 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Common Fixed Points via Rational $φ$-Contractive Conditions in Orbitally Complete Metric Spaces R., Babu G. V. Negash, Alemayehu L., Sandhya M. Bogale, Meaza Functional Analysis 47H10, 54H25 We establish common fixed point theorems for two pairs of weakly compatible self-mappings using an auxiliary function of two variables. Unlike classical results, our theorems do not assume continuity of the mappings and require completeness of only one image set. The use of two-variable auxiliary functions allows us to unify and extend various existing fixed point theorems in metric spaces. |
| title | Common Fixed Points via Rational $φ$-Contractive Conditions in Orbitally Complete Metric Spaces |
| topic | Functional Analysis 47H10, 54H25 |
| url | https://arxiv.org/abs/2509.06960 |