Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709690 | Applied Mathematics Letters | 2009 | 5 Pages |
Abstract
Huang and Zhang [L.-G. Haung, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl. 332 (2007) 1468–1476] proved some fixed point theorems in cone metric spaces. In this work we prove some fixed point theorems in cone metric spaces, including results which generalize those from Haung and Zhang’s work. Given the fact that, in a cone, one has only a partial ordering, it is doubtful that their Theorem 2.1 can be further generalized. We also show that these maps have no nontrivial periodic points.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Mujahid Abbas, B.E. Rhoades,