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Common fixed points of weakly contractive and strongly expansive mappings in topological spaces. (English) Zbl 1195.54087

Summary: Using the notion of weakly \(F\)-contractive mappings, we prove several new common fixed point theorems for commuting as well as noncommuting mappings on a topological space \(X\). By analogy, we obtain a common fixed point theorem of mappings which are strongly \(F\)-expansive on \(X\).

MSC:

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

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