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.


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