Strong convergence of an Ishikawa-type algorithm in CAT ( 0 ) spaces

Hafiz Fukhar-ud-din · Fixed Point Theory and Applications · 2013

We study strong convergence of an Ishikawa-type algorithm of two asymptotically nonexpansive type maps to their common fixed point on a space. Our work provides an affirmative answer to the question of Tan and Xu (Proc. Am. Math. Soc. 122:733-739, 1994); in particular, strong convergence of an Ishikawa-type algorithm of two asymptotically nonexpansive maps without the rate of convergence condition is obtained on a nonlinear domain. MSC:47H09, 47H10, 49M05.

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