Fixed Points and Common Fixed Points of Quasi-Contractive Mappings on Partially Ordered-Cone Metric Spaces

Hailan Jin, Yongjie Piao

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

DOI: 10.4236/am.2014.521321                

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.

Keywords

Common Fixed Point, Cone Metric Space, Complete

Conflicts of Interest

The authors declare no conflicts of interest.

References

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