On some generalizations of commuting mappings.(English)Zbl 1417.54020

Summary: It is shown that occasionally $$\mathcal J \mathcal H$$ operators as well as occasionally weakly biased mappings reduce to weakly compatible mappings in the presence of a unique point of coincidence (and a unique common fixed point) of the given maps.

MSC:

 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces
Full Text:

References:

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