Author(s)

Hailan Jin, Yongjie Piao

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

In this paper, we use the mappings with quasi-contractive conditions, defined on a partially ordered set with cone metric structure, to construct convergent sequences and prove that the limits of the constructed sequences are the unique (common) fixed point of the mappings, and give their corollaries. The obtained results improve and generalize the corresponding conclusions in references.

Common Fixed Point, Cone Metric Space, Complete

Jin, H. and Piao, Y. (2014) Fixed Points and Common Fixed Points of Quasi-Contractive Mappings on Partially Ordered-Cone Metric Spaces. Applied Mathematics, 5, 3437-3444. doi: 10.4236/am.2014.521321.