Fixed points and their approximations for asymptotically nonexpansive mappings in locally convex spaces
P. Vijayaraju · International Journal of Mathematics and Mathematical Sciences · 1995
We construct an example that the class of asymptotically nonexpansive mappings include properly the class of nonexpansive mappings in locally convex spaces, prove a theorem on the existence of fixed points, and the convergence of the sequence of iterates to a fixed point for asymptotically nonexpansive mappings in locally convex spaces.