Fixed Point Theorems for Generalized θ-ϕ-Contractions in G-Metric Spaces
We introduce the notion of generalized θ-ϕ contraction and establish some new fixed point theorems for this contraction in the setting of complete G-metric spaces. The results presented in the paper improve, extend, and unify some known results. Finally, we give an example to illustrate them.
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/1418725 |
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| _version_ | 1832558408267464704 |
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| author | Dingwei Zheng |
| author_facet | Dingwei Zheng |
| author_sort | Dingwei Zheng |
| collection | DOAJ |
| description | We introduce the notion of generalized θ-ϕ contraction and establish some new fixed point theorems for this contraction in the setting of complete G-metric spaces. The results presented in the paper improve, extend, and unify some known results. Finally, we give an example to illustrate them. |
| format | Article |
| id | doaj-art-b58c51dc80ea4373bbb03758bd989d19 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b58c51dc80ea4373bbb03758bd989d192025-02-03T01:32:33ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/14187251418725Fixed Point Theorems for Generalized θ-ϕ-Contractions in G-Metric SpacesDingwei Zheng0College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, ChinaWe introduce the notion of generalized θ-ϕ contraction and establish some new fixed point theorems for this contraction in the setting of complete G-metric spaces. The results presented in the paper improve, extend, and unify some known results. Finally, we give an example to illustrate them.http://dx.doi.org/10.1155/2018/1418725 |
| spellingShingle | Dingwei Zheng Fixed Point Theorems for Generalized θ-ϕ-Contractions in G-Metric Spaces Journal of Function Spaces |
| title | Fixed Point Theorems for Generalized θ-ϕ-Contractions in G-Metric Spaces |
| title_full | Fixed Point Theorems for Generalized θ-ϕ-Contractions in G-Metric Spaces |
| title_fullStr | Fixed Point Theorems for Generalized θ-ϕ-Contractions in G-Metric Spaces |
| title_full_unstemmed | Fixed Point Theorems for Generalized θ-ϕ-Contractions in G-Metric Spaces |
| title_short | Fixed Point Theorems for Generalized θ-ϕ-Contractions in G-Metric Spaces |
| title_sort | fixed point theorems for generalized θ ϕ contractions in g metric spaces |
| url | http://dx.doi.org/10.1155/2018/1418725 |
| work_keys_str_mv | AT dingweizheng fixedpointtheoremsforgeneralizedthphcontractionsingmetricspaces |