A common fixed point theorem using implicit relation and property (E. A) in metric spaces. (English) Zbl 1141.54018

Pathak, H. K.; Rodríguez-López, Rosana; Verma, R. K.

Filomat 21, No. 2, 211-234 (2007).

Using an implicit relation and the (E. A)-property, introduced by M. Aamri and 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 (topological aspects)
47H10	Fixed-point theorems

Keywords:

compatible mappings; weak compatibility

Citations:

Zbl 1008.54030