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

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*Lj. B. Ciric, J. S. Ume and M. S. Khan*

**Address.** Faculty of Mechanical Engineering, Belgrade, Yugoslavia
**E-mail:** edule@alfa.mas.bg.ac.yu

**Abstract.** 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

\cite{6}, Rhoades \cite{7} and Hicks and Kubicek \cite{3}.

**AMSclassification.** 47H10, 54H25.

**Keywords.** Ishikawa iterates, comon fixed point, convex metric
space.