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Fixed Points and Common Fixed Points of Quasi-Contractive Mappings on Partially Ordered-Cone Metric Spaces
Department of Mathematics, College of Science, Yanbian University, Yanji, China
Department of Mathematics, College of Science, Yanbian University, Yanji, China
- 1 Department of Mathematics, College of Science, Yanbian University, Yanji, China
- 2 Department of Mathematics, College of Science, Yanbian University, Yanji, China
Applied Mathematics·Volume 05 (2014)·Pages 3437–3444·Published 1 December 2014·DOI10.4236/am.2014.521321
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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.
KeywordsCommon Fixed PointCone Metric SpaceComplete
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