International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 2, Pages 293-298
doi:10.1155/S0161171295000366

Fixed points and their approximations for asymptotically nonexpansive mappings in locally convex spaces

Abstract

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.