Some Fixed Points Results of Quadratic Functions in Split Quaternions
We attempt to find fixed points of a general quadratic polynomial in the algebra of split quaternion. In some cases, we characterize fixed points in terms of the coefficients of these polynomials and also give the cardinality of these points. As a consequence, we give some simple examples to strengt...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/3460257 |
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| _version_ | 1832560484303241216 |
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| author | Young Chel Kwun Mobeen Munir Waqas Nazeer Shin Min Kang |
| author_facet | Young Chel Kwun Mobeen Munir Waqas Nazeer Shin Min Kang |
| author_sort | Young Chel Kwun |
| collection | DOAJ |
| description | We attempt to find fixed points of a general quadratic polynomial in the algebra of split quaternion. In some cases, we characterize fixed points in terms of the coefficients of these polynomials and also give the cardinality of these points. As a consequence, we give some simple examples to strengthen the infinitude of these points in these cases. We also find the roots of quadratic polynomials as simple consequences. |
| format | Article |
| id | doaj-art-a99ca4e382be450cb98b5ce68f2647d5 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a99ca4e382be450cb98b5ce68f2647d52025-02-03T01:27:28ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/34602573460257Some Fixed Points Results of Quadratic Functions in Split QuaternionsYoung Chel Kwun0Mobeen Munir1Waqas Nazeer2Shin Min Kang3Department of Mathematics, Dong-A University, Busan 49315, Republic of KoreaDivision of Science and Technology, University of Education, Lahore 54000, PakistanDivision of Science and Technology, University of Education, Lahore 54000, PakistanDepartment of Mathematics, Gyeongsang National University, Jinju 52828, Republic of KoreaWe attempt to find fixed points of a general quadratic polynomial in the algebra of split quaternion. In some cases, we characterize fixed points in terms of the coefficients of these polynomials and also give the cardinality of these points. As a consequence, we give some simple examples to strengthen the infinitude of these points in these cases. We also find the roots of quadratic polynomials as simple consequences.http://dx.doi.org/10.1155/2016/3460257 |
| spellingShingle | Young Chel Kwun Mobeen Munir Waqas Nazeer Shin Min Kang Some Fixed Points Results of Quadratic Functions in Split Quaternions Journal of Function Spaces |
| title | Some Fixed Points Results of Quadratic Functions in Split Quaternions |
| title_full | Some Fixed Points Results of Quadratic Functions in Split Quaternions |
| title_fullStr | Some Fixed Points Results of Quadratic Functions in Split Quaternions |
| title_full_unstemmed | Some Fixed Points Results of Quadratic Functions in Split Quaternions |
| title_short | Some Fixed Points Results of Quadratic Functions in Split Quaternions |
| title_sort | some fixed points results of quadratic functions in split quaternions |
| url | http://dx.doi.org/10.1155/2016/3460257 |
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