Strong convergence theorems for asymptotically nonexpansive nonself-mappings with applications
Weiping Guo, Afrah A. N. Abdou, Liaqat Ali Khan, Yeol Je Cho · Fixed Point Theory and Applications · 2015
Abstract In this paper, first, we introduce the condition (BP) which is weaker than the completely continuous mapping in Banach spaces. Second, we consider a simple iteration and prove some strong convergence theorems of the proposed iteration for an asymptotically nonexpansive nonself-mapping with the condition (BP). Finally, we give two examples to illustrate the main result in this paper. Our results improve and extend the corresponding results given by some authors.