An approximation method for common fixed points of a finite family of asymptotic pointwise nonexpansive mappings
1 Department of Mathematics, Faculty of Science, Chaing Mai University, Chiang Mai, 50200, Thailand
2 Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok, 10400, Thailand
Fixed Point Theory and Applications 2012, 2012:108 doi:10.1186/1687-1812-2012-108Published: 2 July 2012
In this article, we consider an iterative scheme to approximate a common fixed point for a finite family of asymptotic pointwise nonexpansive mappings. We obtain weak and strong convergence theorems of the proposed iteration in uniformly convex Banach spaces. The related results for complete CAT(0) spaces are also included.
MSC: 47H09, 47H10.