Fixed Point Theorems in Quaternion-Valued Metric Spaces
The aim of this paper is twofold. First, we introduce the concept of quaternion metric spaces which generalizes both real and complex metric spaces. Further, we establish some fixed point theorems in quaternion setting. Secondly, we prove a fixed point theorem in normal cone metric spaces for four s...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/258985 |
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| _version_ | 1849305125578866688 |
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| author | Ahmed El-Sayed Ahmed Saleh Omran Abdalla J. Asad |
| author_facet | Ahmed El-Sayed Ahmed Saleh Omran Abdalla J. Asad |
| author_sort | Ahmed El-Sayed Ahmed |
| collection | DOAJ |
| description | The aim of this paper is twofold. First, we introduce the concept of quaternion metric spaces which generalizes both real and complex metric spaces. Further, we establish some fixed point theorems in quaternion setting. Secondly, we prove a fixed point theorem in normal cone metric spaces for four self-maps satisfying a general contraction condition. |
| format | Article |
| id | doaj-art-3d1f6617c6df4671a5c7855092d04c9d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3d1f6617c6df4671a5c7855092d04c9d2025-08-20T03:55:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/258985258985Fixed Point Theorems in Quaternion-Valued Metric SpacesAhmed El-Sayed Ahmed0Saleh Omran1Abdalla J. Asad2Mathematics Department, Faculty of Science, Taif University, Taif 888, Saudi ArabiaMathematics Department, Faculty of Science, Taif University, Taif 888, Saudi ArabiaMathematics Department, Faculty of Science, South Valley University, Qena, EgyptThe aim of this paper is twofold. First, we introduce the concept of quaternion metric spaces which generalizes both real and complex metric spaces. Further, we establish some fixed point theorems in quaternion setting. Secondly, we prove a fixed point theorem in normal cone metric spaces for four self-maps satisfying a general contraction condition.http://dx.doi.org/10.1155/2014/258985 |
| spellingShingle | Ahmed El-Sayed Ahmed Saleh Omran Abdalla J. Asad Fixed Point Theorems in Quaternion-Valued Metric Spaces Abstract and Applied Analysis |
| title | Fixed Point Theorems in Quaternion-Valued Metric Spaces |
| title_full | Fixed Point Theorems in Quaternion-Valued Metric Spaces |
| title_fullStr | Fixed Point Theorems in Quaternion-Valued Metric Spaces |
| title_full_unstemmed | Fixed Point Theorems in Quaternion-Valued Metric Spaces |
| title_short | Fixed Point Theorems in Quaternion-Valued Metric Spaces |
| title_sort | fixed point theorems in quaternion valued metric spaces |
| url | http://dx.doi.org/10.1155/2014/258985 |
| work_keys_str_mv | AT ahmedelsayedahmed fixedpointtheoremsinquaternionvaluedmetricspaces AT salehomran fixedpointtheoremsinquaternionvaluedmetricspaces AT abdallajasad fixedpointtheoremsinquaternionvaluedmetricspaces |