TITLE:
Fixed Points and Common Fixed Points of Quasi-Contractive Mappings on Partially Ordered-Cone Metric Spaces
AUTHORS:
Hailan Jin, Yongjie Piao
KEYWORDS:
Common Fixed Point, Cone Metric Space, Complete
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.21,
December
11,
2014
ABSTRACT: 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.