A nonlinear ergodic theorem for an amenable semigroup of nonexpansive mappings in a Hilbert space
A nonlinear ergodic theorem for an amenable semigroup of nonexpansive mappings in a Hilbert space
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希尔伯特空间中非扩张映射的服从半群的非线性遍历定理
DOI：
10.1090/s0002-9939-1981-0593468-x
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发表时间：
1981
影响因子：
1.4
通讯作者：
W. Takahashi
中科院分区：
文献类型：
--
作者：
W. Takahashi
11 Tx Ty 11 0）是C到自身的非扩张映射族，使得对所有t，sE [0，oo），S（0）= I，S（t + s）= S（t）S（s），且对每个xEC，S（t）x在tE [0，oo）中连续.则称S为C上的非扩张半群。S的不动点集F（S）定义为：
11 Tx Ty 11 0) be a family of nonexpansive mappings of C into itself such that S(0) = I, S(t + s) = S(t)S(s) for all t, s E [0, oo) and S(t)x is continuous in t E [0, oo) for each x E C. Then, S is called a nonexpansive semigroup on C. The fixed point set F(S) of S is defined by