Theta Cone Metric Spaces and Some Fixed Point Theorems
This paper introduces the concept of the theta cone metric, studies its various topological properties, and gives some examples of it. Furthermore, it proves some lemmas and then uses them to give further generalizations of some well-known fixed point theorems. Specifically, Theorem 2 of the paper i...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8895568 |
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| _version_ | 1832554020078616576 |
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| author | Sahar Mohamed Ali Abou Bakr |
| author_facet | Sahar Mohamed Ali Abou Bakr |
| author_sort | Sahar Mohamed Ali Abou Bakr |
| collection | DOAJ |
| description | This paper introduces the concept of the theta cone metric, studies its various topological properties, and gives some examples of it. Furthermore, it proves some lemmas and then uses them to give further generalizations of some well-known fixed point theorems. Specifically, Theorem 2 of the paper is a generalization of Reich’s fixed point theorem. |
| format | Article |
| id | doaj-art-76a1b9c1b81040499523175c0ca41d03 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-76a1b9c1b81040499523175c0ca41d032025-02-03T05:52:31ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88955688895568Theta Cone Metric Spaces and Some Fixed Point TheoremsSahar Mohamed Ali Abou Bakr0Department of Mathematics Faculty of Science, Ain Shams University Cairo, Cairo, EgyptThis paper introduces the concept of the theta cone metric, studies its various topological properties, and gives some examples of it. Furthermore, it proves some lemmas and then uses them to give further generalizations of some well-known fixed point theorems. Specifically, Theorem 2 of the paper is a generalization of Reich’s fixed point theorem.http://dx.doi.org/10.1155/2020/8895568 |
| spellingShingle | Sahar Mohamed Ali Abou Bakr Theta Cone Metric Spaces and Some Fixed Point Theorems Journal of Mathematics |
| title | Theta Cone Metric Spaces and Some Fixed Point Theorems |
| title_full | Theta Cone Metric Spaces and Some Fixed Point Theorems |
| title_fullStr | Theta Cone Metric Spaces and Some Fixed Point Theorems |
| title_full_unstemmed | Theta Cone Metric Spaces and Some Fixed Point Theorems |
| title_short | Theta Cone Metric Spaces and Some Fixed Point Theorems |
| title_sort | theta cone metric spaces and some fixed point theorems |
| url | http://dx.doi.org/10.1155/2020/8895568 |
| work_keys_str_mv | AT saharmohamedaliaboubakr thetaconemetricspacesandsomefixedpointtheorems |