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

Document Type : Research Paper


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


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.


  • Receive Date: 30 January 2011
  • Revise Date: 30 June 2012
  • Accept Date: 30 June 2012
  • First Publish Date: 30 June 2012