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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th-cmuir.6653943832-452692018-01-24T06:07:36Z Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property Chaiporn Thangthong Phakdi Charoensawan 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. 2018-01-24T06:07:36Z 2018-01-24T06:07:36Z 2014-01-01 Journal 16871812 16871820 2-s2.0-84901773728 10.1186/1687-1812-2014-128 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84901773728&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45269 |
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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 |
Journal |
| author |
Chaiporn Thangthong Phakdi Charoensawan |
| spellingShingle |
Chaiporn Thangthong Phakdi Charoensawan Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property |
| author_facet |
Chaiporn Thangthong Phakdi Charoensawan |
| author_sort |
Chaiporn Thangthong |
| 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 |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84901773728&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45269 |
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