Convergence theorems for some multi-valued generalized nonexpansive mappings
Shih-sen Chang, Yong-Kun Tang, Lin Wang, Yuguang Xu, Yunhe Zhao, Gang Wang · Fixed Point Theory and Applications · 2014
In this paper, we propose an algorithms for finding a common fixed point of an infinite family of multi-valued generalized nonexpansive mappings in uniformly convex Banach spaces. Under suitable conditions some strong and weak convergence theorems for such mappings are proved. The results presented in the paper improve and extend the corresponding results of Suzuki (J. Math. Anal. Appl. 340:1088-1095, 2008), Eslamian and Abkar (Math. Comput. Model. 54:105-111, 2011), Abbas et al. (Appl. Math. Lett. 24:97-102, 2011) and others. MSC:47J05, 47H09, 49J25.