Common fixed points of noncommuting mappings. (English) Zbl 0830.54031

From the text: “In the present paper we introduce the notion of \(R\)-weak commutativity of mappings. Under the assumption of \(R\)-weak commutativity we prove two common fixed point theorems for pairs of mappings. The results obtained give proper generalizations of many important fixed point theorems and open up a wider scope for the study of common fixed points under contractive-type conditions”.


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