Two common fixed Point theorems for compatible mappings | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 2، شماره 2، 2011، صفحه 7-18 اصل مقاله (313.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2011.52 | ||
| نویسندگان | ||
| A. Razani* ؛ M. Yazdi | ||
| Department of Mathematics, Faculty of Science, I. Kh. International University, P.O. Box: 34149-16818, Qazvin, Iran. | ||
| چکیده | ||
| Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory for generalized $varphi$-weak contractions, Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two maps satisfying generalized $\varphi$-weak contractions. In this paper, we prove a common fixed point theorem for a family of compatible maps. In fact, a new generalization of Zhang and Song's theorem is given. | ||
| کلیدواژهها | ||
| Common fixed point؛ Compatible mappings؛ weakly compatible mappings؛ $\varphi$-weak contraction؛ Complete metric space | ||
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