Fixed point theorem for generalized Chatterjea type mappings
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912393560326144 |
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| author | Popescu, Ovidiu Păcurar, Cristina Maria |
| author_facet | Popescu, Ovidiu Păcurar, Cristina Maria |
| contents | We introduce a new type of mappings in metric space which are three-point analogue of the well-known Chatterjea type mappings, and call them generalized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the case of Chatterjea type mappings and this new class includes the class of Chatterjea type mappings. The fixed point theorem for generalized Chatterjea type mappings is proven. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00782 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fixed point theorem for generalized Chatterjea type mappings Popescu, Ovidiu Păcurar, Cristina Maria Metric Geometry General Topology We introduce a new type of mappings in metric space which are three-point analogue of the well-known Chatterjea type mappings, and call them generalized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the case of Chatterjea type mappings and this new class includes the class of Chatterjea type mappings. The fixed point theorem for generalized Chatterjea type mappings is proven. |
| title | Fixed point theorem for generalized Chatterjea type mappings |
| topic | Metric Geometry General Topology |
| url | https://arxiv.org/abs/2404.00782 |