In this paper, we prove the coupled coincidence point theorems for a w*-compatible mapping in partially ordered cone metric spaces over a solid cone without the mixed g-monotone property. In the case of a totally ordered space, these results are automatically obvious under the assumption given. Therefore, these results can be applied in a much wider class of problems. We also prove the uniqueness of a common coupled fixed point in this setup and give some example which is not applied to the existence of a common coupled fixed point by using the mixed g-monotone property but can be applied to our results. © 2013 Agarwal et al.; licensee Springer.
CITATION STYLE
Agarwal, R. P., Sintunavarat, W., & Kumam, P. (2013). Coupled coincidence point and common coupled fixed point theorems lacking the mixed monotone property. Fixed Point Theory and Applications, 2013. https://doi.org/10.1186/1687-1812-2013-22
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