Best Proximity Point Results for Cyclic Orbital Contraction Mappings in $CAT_p(0)$ Metric Spaces
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912762223919104 |
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| author | Kumar, Parveen Kumar, Ankit Rohilla, Manu |
| author_facet | Kumar, Parveen Kumar, Ankit Rohilla, Manu |
| contents | In this paper, we introduce the concept of cyclic orbital contraction mappings which generalizes the concept of cyclic contraction mappings. We establish the existence of best proximity point of these mappings in the framework of $CAT_p(0)$ metric spaces. Also, we study the existence of best proximity point theorems for cyclic orbital contraction mappings in uniformly convex Banach spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12361 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Best Proximity Point Results for Cyclic Orbital Contraction Mappings in $CAT_p(0)$ Metric Spaces Kumar, Parveen Kumar, Ankit Rohilla, Manu Functional Analysis 47H09, 47H10, 54H25 In this paper, we introduce the concept of cyclic orbital contraction mappings which generalizes the concept of cyclic contraction mappings. We establish the existence of best proximity point of these mappings in the framework of $CAT_p(0)$ metric spaces. Also, we study the existence of best proximity point theorems for cyclic orbital contraction mappings in uniformly convex Banach spaces. |
| title | Best Proximity Point Results for Cyclic Orbital Contraction Mappings in $CAT_p(0)$ Metric Spaces |
| topic | Functional Analysis 47H09, 47H10, 54H25 |
| url | https://arxiv.org/abs/2512.12361 |