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On the convergence of the Ishikawa iterates to a common fixed point of two mappings

Ljubomir B. ĆirićJeong Sheok UmeM. S. Khan — 2003

Archivum Mathematicum

Let C be a convex subset of a complete convex metric space X , and S and T be two selfmappings on C . In this paper it is shown that if the sequence of Ishikawa iterations associated with S and T converges, then its limit point is the common fixed point of S and T . This result extends and generalizes the corresponding results of Naimpally and Singh [6], Rhoades [7] and Hicks and Kubicek [3].

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