Coupled coincidence point theorems for a φ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property

• المؤلفون الرئيسيون: Thangthong C., Charoensawan P.
• التنسيق: مقال
• اللغة: English
• منشور في: Hindawi Publishing Corporation 2014
• الوصول للمادة أونلاين: http://www.scopus.com/inward/record.url?eid=2-s2.0-84901773728&partnerID=40&md5=677125d89b3bbc491bb2f50fabca47f0; http://cmuir.cmu.ac.th/handle/6653943832/4848
• المؤسسة: Chiang Mai University

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.