ON THE CONVERGENCE OF THE ISHIKAWA ITERATES TO A COMMON FIXED POINT OF 2k MAPPINGS
Let C be a convex subset of a complete convex metric space X, and A(1), A(2),..., A(2k) be some self-mappings on C. In this paper, it is shown that if the sequence of Ishikawa iterations associated with A(1), A(2),..., A(2k) converges, then its limit point is the common fixed point of A(1), A(2),..., A(2k). This result extends and generalizes the corresponding results of Ciric et. al. [Archivum Math., 39 (2003), 123-127.], Naimpally and Singh [J. Math. Anal. Appl. 96 (1983), 437-446.], Rhoades [Trans. Amer. Math. Soc. 196 (1974), 161-176.] and Hicks and Kubicek [J. Math. Anal. Appl. 59 (1977), 498-504.]
ishikawa iterates common fixed point convex metric space