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On fixed points of weakly commuting mappings in compact metric spaces. (English) Zbl 0583.54031

The main fixed point theorem, given in a compact metric space, improves a recent result of the second author using a condition of weak commutativity indebted to the first author. Further, we prove that other related results, established for commuting mappings, are not extendable to the case of weakly commuting mappings.

MSC:

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