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].
@article{107858,
author = {Ljubomir B. \'Ciri\'c and Jeong Sheok Ume and M. S. Khan},
title = {On the convergence of the Ishikawa iterates to a common fixed point of two mappings},
journal = {Archivum Mathematicum},
volume = {039},
year = {2003},
pages = {123-127},
zbl = {1109.47312},
mrnumber = {1994568},
language = {en},
url = {http://dml.mathdoc.fr/item/107858}
}
Ćirić, Ljubomir B.; Ume, Jeong Sheok; Khan, M. S. On the convergence of the Ishikawa iterates to a common fixed point of two mappings. Archivum Mathematicum, Tome 039 (2003) pp. 123-127. http://gdmltest.u-ga.fr/item/107858/
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