Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings

نویسندگان
Yatakoat, P. ID 1
Suantai, S. ID 2

1 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

2 Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

doi
10.22075/ijnaa.2012.35
چکیده

In this paper, we introduce and study a new iterative scheme to approximate a common fixed point for a finite family of generalized asymptotically quasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weak convergence theorems of the proposed iteration are established. The main results obtained in this paper generalize and refine some known results in the current literature.

کلیدواژه‌ها
Generalized asymptotically quasi-nonexpansive nonself-mappings, Common xed points, Weak and Strong convergence