A Review of the Some Fixed Point Theorems for Different Kinds of Maps
The focus of this article, reviewed a generalized of contraction mapping and nonexpansive maps and recall some theorems about the existence and uniqueness of common fixed point and coincidence fixed-point for such maps under some conditions. Moreover, some schemes of different types as one-step sc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad
2023-07-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3006 |
| _version_ | 1797776157669588992 |
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| author | Bayda Atiya Kalaf Zena Hussein Maibed |
| author_facet | Bayda Atiya Kalaf Zena Hussein Maibed |
| author_sort | Bayda Atiya Kalaf |
| collection | DOAJ |
| description |
The focus of this article, reviewed a generalized of contraction mapping and nonexpansive maps and recall some theorems about the existence and uniqueness of common fixed point and coincidence fixed-point for such maps under some conditions. Moreover, some schemes of different types as one-step schemes ,two-step schemes and three step schemes (Mann scheme algorithm, Ishukawa scheme algorithm, noor scheme algorithm, .scheme algorithm, scheme algorithm Modified scheme algorithm arahan scheme algorithm and others. The convergence of these schemes has been studied .On the other hands, We also reviewed the convergence, valence and stability theories of different types of near-plots in convex metric space.
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| first_indexed | 2024-03-12T22:45:55Z |
| format | Article |
| id | doaj.art-2c3d39751da0455f81e5adb2899e5ac7 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-03-12T22:45:55Z |
| publishDate | 2023-07-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-2c3d39751da0455f81e5adb2899e5ac72023-07-21T05:07:13ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072023-07-0136310.30526/36.3.3006A Review of the Some Fixed Point Theorems for Different Kinds of Maps Bayda Atiya Kalaf0Zena Hussein MaibedDepartment of Mathematics, College of Education for Pure Sciences, Ibn Al – Haitham, University of Baghdad Iraq The focus of this article, reviewed a generalized of contraction mapping and nonexpansive maps and recall some theorems about the existence and uniqueness of common fixed point and coincidence fixed-point for such maps under some conditions. Moreover, some schemes of different types as one-step schemes ,two-step schemes and three step schemes (Mann scheme algorithm, Ishukawa scheme algorithm, noor scheme algorithm, .scheme algorithm, scheme algorithm Modified scheme algorithm arahan scheme algorithm and others. The convergence of these schemes has been studied .On the other hands, We also reviewed the convergence, valence and stability theories of different types of near-plots in convex metric space. https://jih.uobaghdad.edu.iq/index.php/j/article/view/3006 |
| spellingShingle | Bayda Atiya Kalaf Zena Hussein Maibed A Review of the Some Fixed Point Theorems for Different Kinds of Maps Ibn Al-Haitham Journal for Pure and Applied Sciences |
| title | A Review of the Some Fixed Point Theorems for Different Kinds of Maps |
| title_full | A Review of the Some Fixed Point Theorems for Different Kinds of Maps |
| title_fullStr | A Review of the Some Fixed Point Theorems for Different Kinds of Maps |
| title_full_unstemmed | A Review of the Some Fixed Point Theorems for Different Kinds of Maps |
| title_short | A Review of the Some Fixed Point Theorems for Different Kinds of Maps |
| title_sort | review of the some fixed point theorems for different kinds of maps |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/3006 |
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