Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property
In this work, we show the existence of a coupled coincidence point and a coupled common fixed point for a φcontractive mapping in G-metric spaces without the mixed g-monotone property, using the concept of a (F*, g)-invariant set. We also show the uniqueness of a coupled coincidence point and give s...
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Hindawi Publishing Corporation
2014
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th-cmuir.6653943832-48482014-08-30T02:55:52Z Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property Thangthong C. Charoensawan P. In this work, we show the existence of a coupled coincidence point and a coupled common fixed point for a φcontractive mapping in G-metric spaces without the mixed g-monotone property, using the concept of a (F*, g)-invariant set. We also show the uniqueness of a coupled coincidence point and give some examples, which are not applied to the existence of a coupled coincidence point by using the mixed g-monotone property. 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 Thangthong and Charoensawan; licensee Springer. 2014-08-30T02:55:52Z 2014-08-30T02:55:52Z 2014 Article 16871812 10.1186/1687-1812-2014-128 http://www.scopus.com/inward/record.url?eid=2-s2.0-84901773728&partnerID=40&md5=677125d89b3bbc491bb2f50fabca47f0 http://cmuir.cmu.ac.th/handle/6653943832/4848 English Hindawi Publishing Corporation |
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In this work, we show the existence of a coupled coincidence point and a coupled common fixed point for a φcontractive mapping in G-metric spaces without the mixed g-monotone property, using the concept of a (F*, g)-invariant set. We also show the uniqueness of a coupled coincidence point and give some examples, which are not applied to the existence of a coupled coincidence point by using the mixed g-monotone property. 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 Thangthong and Charoensawan; licensee Springer. |
| format |
Article |
| author |
Thangthong C. Charoensawan P. |
| spellingShingle |
Thangthong C. Charoensawan P. Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property |
| author_facet |
Thangthong C. Charoensawan P. |
| author_sort |
Thangthong C. |
| title |
Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property |
| title_short |
Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property |
| title_full |
Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property |
| title_fullStr |
Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property |
| title_full_unstemmed |
Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property |
| title_sort |
coupled coincidence point theorems for a φ-contractive mapping in partially ordered g-metric spaces without mixed g-monotone property |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84901773728&partnerID=40&md5=677125d89b3bbc491bb2f50fabca47f0 http://cmuir.cmu.ac.th/handle/6653943832/4848 |
| _version_ |
1681420314386366464 |