## 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

### Keywords:

contractive pair; common fixed point