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Noncompatible mappings and common fixed points. (English) Zbl 0945.54033

Let \((X,d)\) a metric space and \(f,g:X\to X\) a pair of mappings. The author gives a common fixed point theorem for a noncompatible pair, \((f,g)\), under a contractive condition. A situation in which the common fixed point is a point of discontinuity for \(f\) and \(g\), is established.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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