Characterizations of fixed points of nonexpansive mappings

Abstract

Let C be a closed convex subset of a Banach space E. A mapping T on C is called a nonexpansive mapping if ‖Tx−Ty‖ ≤ ‖x− y‖ for all x, y ∈ C. We denote by F(T) the set of fixed points of T . Kirk [17] proved that F(T) is nonempty in the case that C is weakly compact and has normal structure. See also [2, 3, 5, 6, 11] and others. Convergence theorems to fixed… (More)
DOI: 10.1155/IJMMS.2005.1723

Topics

Figures and Tables

Sorry, we couldn't extract any figures or tables for this paper.