کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
469192 | 698295 | 2010 | 12 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces Common fixed point theorems for ordered contractions and quasicontractions in ordered cone metric spaces](/preview/png/469192.png)
In the first part of this paper we generalize results on common fixed points in ordered cone metric spaces obtained by I. Altun and G. Durmaz [I. Altun, G. Durmaz, Some fixed point theorems on ordered cone metric spaces, Rend. Circ. Mat. Palermo, 58 (2009) 319–325] and I. Altun, B. Damnjanović and D. Djorić [I. Altun, B. Damnjanović, D. Djorić, Fixed point and common fixed point theorems on ordered cone metric spaces, Appl. Math. Lett. (2009) doi:10.1016/j.aml.2009.09.016] by weakening the respective contractive condition. Then, the notions of quasicontraction and gg-quasicontraction are introduced in the setting of ordered cone metric spaces and respective (common) fixed point theorems are proved. In such a way, known results on quasicontractions and gg-quasicontractions in metric spaces and cone metric spaces are extended to the setting of ordered cone metric spaces. Examples show that there are cases when new results can be applied, while old ones cannot.
Journal: Computers & Mathematics with Applications - Volume 59, Issue 9, May 2010, Pages 3148–3159