On coupled coincidence point theorems on partially ordered G-metric spaces without mixed g-monotone
In this work, we prove the existence of a coupled coincidence point theorem of nonlinear contraction mappings in G-metric spaces without the mixed g-monotone property and give some examples of a nonlinear contraction mapping, which is not applied to the existence of coupled coincidence point by usin...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-84899822739&partnerID=40&md5=7272ad60e18d3d561768ece3bcb5841e http://cmuir.cmu.ac.th/handle/6653943832/4838 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | In this work, we prove the existence of a coupled coincidence point theorem of nonlinear contraction mappings in G-metric spaces without the mixed g-monotone property and give some examples of a nonlinear contraction mapping, which is not applied to the existence of coupled coincidence point by using the mixed monotone property. We also show the uniqueness of a coupled coincidence point of the given mapping. Further, we apply our results to the existence and uniqueness of a coupled coincidence point of the given mapping in partially ordered G-metric spaces. © 2014 Charoensawan and Thangthong; licensee Springer. |
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