The Convergence Theorms for Asymptotically Non-expanstive Mapping in a Uniformly Convex Banach Space
Yongfu Su · 2001
The convergence theorm of Ishikawa iterative for asymptotically non-expansitve mapping in a Hilbert space was proved. The relative results is extended to a uniformly convex Banach space that T is asymptotically non-expanstive mapping from bounded closed convex subset E into self.Now suppose only E is closed convex subset in uniformly convex Banach space.The convergence theorms of Ishikawa iterative for asymptotically non-expanstive mapping is still proved and the relative conditions is also weakened.