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A common fixed point theorem using implicit relation and property (E. A) in metric spaces. (English) Zbl 1141.54018
Using an implicit relation and the (E. A)-property, introduced by {\it M. Aamri} and {\it D. El Moutawakil} [J. Math. Anal. Appl. 270, No. 1, 181--188 (2002; Zbl 1008.54030)], the authors prove a common fixed point theorem for four mappings. This theorem generalizes and improves some known results. Several examples clarify the importance of the property (E. A) and weak compatibility.
Reviewer: Ljubiša Kočinac (Niš)

##### MSC:
 54H25 Fixed-point and coincidence theorems in topological spaces 47H10 Fixed-point theorems for nonlinear operators on topological linear spaces
##### Keywords:
compatible mappings; weak compatibility
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