Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces
Azam et al. (2011), introduce the notion of complex valued metric spaces and obtained common fixed point result for mappings in the context of complex valued metric spaces. Rao et al. (2013) introduce the notion of complex valued b-metric spaces. In this paper, we generalize the results of Azam et...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/587825 |
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| _version_ | 1832556561913872384 |
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| author | Aiman A. Mukheimer |
| author_facet | Aiman A. Mukheimer |
| author_sort | Aiman A. Mukheimer |
| collection | DOAJ |
| description | Azam et al. (2011), introduce the notion of complex valued metric spaces and obtained
common fixed point result for mappings in the context of complex valued metric spaces.
Rao et al. (2013) introduce the notion of complex valued b-metric spaces. In this paper, we
generalize the results of Azam et al. (2011), and Bhatt et al. (2011), by improving the conditions
of contraction to establish the existence and uniqueness of common fixed point for two
self-mappings on complex valued b-metric spaces. Some examples are given to illustrate
the main results. |
| format | Article |
| id | doaj-art-926b1a60f08e402cad463f38f4fbb2be |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-926b1a60f08e402cad463f38f4fbb2be2025-02-03T05:45:01ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/587825587825Some Common Fixed Point Theorems in Complex Valued b-Metric SpacesAiman A. Mukheimer0Department of Mathematical Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaAzam et al. (2011), introduce the notion of complex valued metric spaces and obtained common fixed point result for mappings in the context of complex valued metric spaces. Rao et al. (2013) introduce the notion of complex valued b-metric spaces. In this paper, we generalize the results of Azam et al. (2011), and Bhatt et al. (2011), by improving the conditions of contraction to establish the existence and uniqueness of common fixed point for two self-mappings on complex valued b-metric spaces. Some examples are given to illustrate the main results.http://dx.doi.org/10.1155/2014/587825 |
| spellingShingle | Aiman A. Mukheimer Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces The Scientific World Journal |
| title | Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces |
| title_full | Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces |
| title_fullStr | Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces |
| title_full_unstemmed | Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces |
| title_short | Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces |
| title_sort | some common fixed point theorems in complex valued b metric spaces |
| url | http://dx.doi.org/10.1155/2014/587825 |
| work_keys_str_mv | AT aimanamukheimer somecommonfixedpointtheoremsincomplexvaluedbmetricspaces |