Asymptotic behavior of nonexpansive sequences and mean points
Jong Soo Jung, Jong Park · Proceedings of the American Mathematical Society · 1996
Let E E be a real Banach space with norm ‖ ⋅ ‖ \Vert \cdot \Vert and let { x n } n ≥ 0 \{x_n\}_{n \ge 0} be a nonexpansive sequence in E E (i.e., ‖ x i + 1 − x j + 1 ‖ ≤ ‖ x i − x j ‖ \Vert x_{i + 1} - x_{j + 1}\Vert \le \Vert x_i - x_j\Vert for all i , j ≥ 0 i, j \ge 0 ). Let K = ⋂ n = 1 ∞ c o ¯ { { x i − x i − 1