Fixed Point Theorem and Nonlinear Ergodic Theorem for Nonexpansive Semigroups Without Convexity
Fixed Point Theorem and Nonlinear Ergodic Theorem for Nonexpansive Semigroups Without Convexity
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无凸非扩张半群的不动点定理和非线性遍历定理
DOI：
10.4153/cjm-1992-053-3
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
W. Takahashi
中科院分区：
文献类型：
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作者：
W. Takahashi
本文首先证明了Hilbert空间中不具凸性的非扩张半群的一个非线性遍历定理。进一步证明了无凸性的非扩张半群的一个不动点定理，同时推广了左顺从半群和左可逆半群的不动点定理。
Abstract We first prove a nonlinear ergodic theorem for nonexpansive semigroups without convexity in a Hilbert space. Further we prove a fixed point theorem for non-expansive semigroups without convexity which generalizes simultaneously fixed point theorems for left amenable semigroups and left reversible semigroups.