Modified proof of Caristi's fixed point theorem on partial metric spaces
In this paper, lower semi-continuous functions are used to modify the proof of Caristi's fixed point theorems on partial metric spaces. We prove a new type of fixed point theorems in complete partial metric spaces, and then generalize them to metric spaces. Some more general results are also ob...
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Format: | Article |
Published: |
2018
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Online Access: | https://repository.li.mahidol.ac.th/handle/123456789/32018 |
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Institution: | Mahidol University |
Summary: | In this paper, lower semi-continuous functions are used to modify the proof of Caristi's fixed point theorems on partial metric spaces. We prove a new type of fixed point theorems in complete partial metric spaces, and then generalize them to metric spaces. Some more general results are also obtained on partial metric spaces. © 2013 Klin-eam; licensee Springer. |
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