Caristi’s Fixed Point Theorem in Cone Metric Space
In this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result for single and set-valued mappings in cone metric spaces. In addition, we partially addressed an open problem in which Caristi-Kirk fixed point result in cone metric spaces reduces to a classical re...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/7523333 |
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| _version_ | 1832551256763138048 |
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| author | Fatemeh Lael Naeem Saleem Reny George |
| author_facet | Fatemeh Lael Naeem Saleem Reny George |
| author_sort | Fatemeh Lael |
| collection | DOAJ |
| description | In this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result for single and set-valued mappings in cone metric spaces. In addition, we partially addressed an open problem in which Caristi-Kirk fixed point result in cone metric spaces reduces to a classical result in metric spaces and provided a brief justification for a partial positive answer to this open problem using Caristi-Kirk fixed point theorem on uniform space. The proofs given to Caristi-Kirk’s result vary and use different techniques. |
| format | Article |
| id | doaj-art-6af6692725d64bdf9c843f1b7df423f1 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6af6692725d64bdf9c843f1b7df423f12025-02-03T06:01:52ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7523333Caristi’s Fixed Point Theorem in Cone Metric SpaceFatemeh Lael0Naeem Saleem1Reny George2Imam Khomeini International University-Buin Zahra Higher Education Center of Engineering and TechnologyDepartment of MathematicsDepartment of MathematicsIn this paper, we provide a short, comprehensive, and brief proof for Caristi-Kirk fixed point result for single and set-valued mappings in cone metric spaces. In addition, we partially addressed an open problem in which Caristi-Kirk fixed point result in cone metric spaces reduces to a classical result in metric spaces and provided a brief justification for a partial positive answer to this open problem using Caristi-Kirk fixed point theorem on uniform space. The proofs given to Caristi-Kirk’s result vary and use different techniques.http://dx.doi.org/10.1155/2022/7523333 |
| spellingShingle | Fatemeh Lael Naeem Saleem Reny George Caristi’s Fixed Point Theorem in Cone Metric Space Journal of Function Spaces |
| title | Caristi’s Fixed Point Theorem in Cone Metric Space |
| title_full | Caristi’s Fixed Point Theorem in Cone Metric Space |
| title_fullStr | Caristi’s Fixed Point Theorem in Cone Metric Space |
| title_full_unstemmed | Caristi’s Fixed Point Theorem in Cone Metric Space |
| title_short | Caristi’s Fixed Point Theorem in Cone Metric Space |
| title_sort | caristi s fixed point theorem in cone metric space |
| url | http://dx.doi.org/10.1155/2022/7523333 |
| work_keys_str_mv | AT fatemehlael caristisfixedpointtheoreminconemetricspace AT naeemsaleem caristisfixedpointtheoreminconemetricspace AT renygeorge caristisfixedpointtheoreminconemetricspace |