Approximating fixed points for generalized nonexpansive mapping in "Equation missing" spaces
Izhar Uddin, Sumitra Dalal, Mohammad Imdad · Journal of Inequalities and Applications · 2014
Abstract Takahashi and Kim (Math. Jpn. 48:1-9, 1998) used the Ishikawa iteration process to prove some convergence theorems for nonexpansive mappings in Banach spaces. The aim of this paper is to prove similar results in CAT ( 0 ) spaces for generalized nonexpansive mappings, which, in turn, generalize the corresponding results of Takahashi and Kim (Math. Jpn. 48:1-9, 1998), Laokul and Panyanak (Int. J. Math. Anal. 3(25-28):1305-1315, 2009), Razani and Salahifard (Bull. Iran. Math. Soc. 37(1):235-246, 2011) and some others. MSC:47H10, 54H25.