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Altering distance and common fixed points under implicit relations. (English) Zbl 1239.47046

The authors prove a common fixed point theorem for two pairs of occasionally weakly compatible mappings satisfying an implicit relation of a new type that involves an altering distance. A fixed point theorem for two pairs of mappings satisfying an implicit relation of integral type is also proved by the authors.

MSC:

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