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If T T is a nonexpansive mapping from a closed convex subset D D of a Banach space into a compact subset of D D and x 1 {x_1} is any point in D D , then the sequence { x n } \\{ {x_n}\\} defined by x n + 1 = 2 − 1 ( x n + T x n ) {x_{n + 1}} = {2^{ - 1}}({x_n} + T{x_n}) converges to a fixed point of T T . As a matter of fact, a theorem which includes this result is proved. 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Fixed points and iteration of a nonexpansive mapping in a Banach space 论文

Fixed points and iteration of a nonexpansive mapping in a Banach space · 相关技术

相关技术