An approximation of a common fixed point of nonexpansive mappings on convex metric spaces

作者：Anakkamatee W; Dhompongsa S^*

来源：Fixed Point Theory and Applications, 2012, 112.

DOI：10.1186/1687-1812-2012-112

• common fixed point
• nonexpansive mapping
• strictly convex Banach space
• CAT(0) space

Sokhuma and Kaewkhao (2011) introduced an iteration scheme to compute a common fixed point of a single-valued nonexpansive mapping and a multivalued nonexpansive mapping on a uniformly convex Banach space. In this paper, we extend the above result of Sokhuma and Kaewkhao from a single-valued mapping to a countable number of mappings and, at the same time, we extend the underlying spaces to strictly convex Banach spaces. The corresponding results are also obtained for the space setting.

• 出版日期2012