Some new common fixed point theorems under strict contractive conditions. (English) Zbl 1008.54030

Let \((X,d)\) be a metric space and \(S,T:X\to X\) two mappings. The authors define a new property for \((S,T)\) which generalizes the concept of noncompatible mappings and give some common fixed point theorems under strict contractive conditions.


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