Strong convergence of a modified SP-iteration process for generalized asymptotically quasi- nonexpansive mappings in CAT(0) spaces

In this paper, we establish strong convergence theorems of the modified SP-iteration generalized asymptotically quasi-nonexpansive mapping in CAT(0) spaces which extend and improve the recent ones announced by Phuengrattana and Suantai [W. Phuengrattana, S. Suantai, J. Comput. Appl. Math., 235 (2011), 3006- 3014], Sahin and Basarir [A. Sahin, M. Basarir, J. Inequal. Appl., 2013 (2013), 10 pages], Nanjaras and Panyanak [B. Nanjaras, B. Panyanak, Fixed Point Theory Appl., 2010 (2010), 14 pages] and some others.