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**Nonlinear contractive conditions for coupled cone fixed point theorems.**
*(English)*
Zbl 1220.54022

The author proves coupled fixed point theorems for various types of nonlinear contractive maps in the setting of quasi-ordered cone metric spaces. The existence of fixed points in partially ordered sets has been studied by several researchers. The various contractive conditions are important in metric fixed point theory, and attempts are made to weaken the contractive requirements. The results given in this paper under weaker assumptions do extend a few known results.

Reviewer: S. P. Singh (London, Ontario)

### MSC:

54H25 | Fixed-point and coincidence theorems (topological aspects) |

### Keywords:

coupled fixed point theorem; nonlinear contractive maps; quasiordered cone metric spaces; partially ordered set
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\textit{W.-S. Du}, Fixed Point Theory Appl. 2010, Article ID 190606, 16 p. (2010; Zbl 1220.54022)

### References:

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