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Weakly contractive maps and common fixed points. (English) Zbl 1199.54204
Existence of coincidence points and common fixed points for self-mappings on a metric space which are weakly compatible and satisfy a weak contractive condition is proved. An application to the convergence of the modified Mann iterative scheme to a common fixed point of two mappings on a convex metric space is given.

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