Geodesic
On the convergence of the Ishikawa iterates to a common fixed point of two mappings
Archivum mathematicum, Tome 39 (2003) no. 2, pp. 123-127
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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].
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].
Classification : 47H10, 47J25, 54H25
Keywords: Ishikawa iterates; comon fixed point; convex metric space 
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Ćirić, Lj. B.; Ume, J. S.; Khan, M. S. On the convergence of the Ishikawa iterates to a common fixed point of two mappings. Archivum mathematicum, Tome 39 (2003) no. 2, pp. 123-127. http://geodesic.mathdoc.fr/item/ARM_2003_39_2_a2/

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