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Common fixed point theorems for mappings satisfying common property (E. A.) in symmetric spaces. (English) Zbl 1265.54169

Summary: Common fixed point theorems for mappings satisfying a generalized contractive condition are obtained in symmetric spaces by using the notion of common property (E. A.). In the process, a host of previously known results are improved and generalized. We also derive results on common fixed points in probabilistic symmetric spaces.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E70 Probabilistic metric spaces
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