Author(s)

Yongjie Piao, Yuanfeng Jin

Department of mathematics, College of Science, Yanbian University, Yanji, China.

In this paper, some new unique common fixed points for four mappings satisfying Ф-contractive conditions on non-complete 2-metric spaces are obtained, in which the mappings do not satisfy continuity and commutation. The main results generalize and improve many well-known and corresponding conclusions in the literatures.

2-Metric Space; Class Ф; Cauchy Sequence; Coincidence Point; Unique Common Fixed Point

Y. Piao and Y. Jin, "New Unique Common Fixed Point Results for Four Mappings with Ф-Contractive Type in 2-Metric Spaces," Applied Mathematics, Vol. 3 No. 7, 2012, pp. 734-737. doi: 10.4236/am.2012.37108.