关于Banach空间中渐近非扩张型半群的不动点与渐近行为 |
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引用本文: | 曾六川.关于Banach空间中渐近非扩张型半群的不动点与渐近行为[J].东北数学,2004,20(1):30-40. |
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作者姓名: | 曾六川 |
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作者单位: | DepartmentofMathematics,ShanghaiNormalUniversity,Shanghai,200234 |
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摘 要: | Let X be a Banach space with a weakly continuous duality map Jφ,C a non-empty weakly compact convex subset of X, and T:(T(t):t∈S} an asymptotically nonexpansive type semigroup on C. In this paper, the inequality K∩F(T)≠0 is characterized, where K is a subset of C and F(T) is the set of all common fixed points of T. Furthermore, it is shown that an almost-orbit {u(t):t∈S} of T converges weakly to a point in F(T) if and only if {u(t):t∈S}is weakly asymptotically regular.
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关 键 词: | Banach空间 渐近非扩张型半群 不动点 渐近行为 |
Fixed Points and Asymptotic Behavior for Asymptotically Nonexpansive Type Semigroups in Banach Spaces |
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