Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction
In this paper, we use interpolation to obtain fixedpoint and common fixed point results for a new type of Kannan contraction mappings in complete metric and b-metric spaces. Our results extend and improve some results on fixed point theory in the literature. We also give some examples to illustrate...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/2075920 |
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| _version_ | 1832551679436783616 |
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| author | Youssef Errai El Miloudi Marhrani Mohamed Aamri |
| author_facet | Youssef Errai El Miloudi Marhrani Mohamed Aamri |
| author_sort | Youssef Errai |
| collection | DOAJ |
| description | In this paper, we use interpolation to obtain fixedpoint and common fixed point results for a new type of Kannan contraction mappings in complete metric and b-metric spaces. Our results extend and improve some results on fixed point theory in the literature. We also give some examples to illustrate the given results. |
| format | Article |
| id | doaj-art-7535c060cc614d98a75cb78a16892eb1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-7535c060cc614d98a75cb78a16892eb12025-02-03T06:00:49ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/20759202075920Some Remarks on Fixed Point Theorems for Interpolative Kannan ContractionYoussef Errai0El Miloudi Marhrani1Mohamed Aamri2Laboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, B.P 7955, Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, B.P 7955, Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, B.P 7955, Sidi Othmane, Casablanca, MoroccoIn this paper, we use interpolation to obtain fixedpoint and common fixed point results for a new type of Kannan contraction mappings in complete metric and b-metric spaces. Our results extend and improve some results on fixed point theory in the literature. We also give some examples to illustrate the given results.http://dx.doi.org/10.1155/2020/2075920 |
| spellingShingle | Youssef Errai El Miloudi Marhrani Mohamed Aamri Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction Journal of Function Spaces |
| title | Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction |
| title_full | Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction |
| title_fullStr | Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction |
| title_full_unstemmed | Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction |
| title_short | Some Remarks on Fixed Point Theorems for Interpolative Kannan Contraction |
| title_sort | some remarks on fixed point theorems for interpolative kannan contraction |
| url | http://dx.doi.org/10.1155/2020/2075920 |
| work_keys_str_mv | AT yousseferrai someremarksonfixedpointtheoremsforinterpolativekannancontraction AT elmiloudimarhrani someremarksonfixedpointtheoremsforinterpolativekannancontraction AT mohamedaamri someremarksonfixedpointtheoremsforinterpolativekannancontraction |