论文标题
渐近非专业类型映射的固定点
Fixed points for mappings of asymptotically nonexpansive type
论文作者
论文摘要
我们证明了在Banach空间中满足某些渐近非义能条件的映射的固定点，这些空间几乎均匀地凸出，或者他们满足有界序列的渐近中心是紧凑的。名义上，我们最终考虑了最终的非专用映射，渐近地渐近地映射，渐近地键入非专用。我们不假定存在连续的迭代，而是解决了有关在没有连续性的情况下这些映射存在固定点的一些长期开放问题。
We prove the existence of a fixed point for mappings which satisfy some asymptotic nonexpansive conditions in Banach spaces which are either nearly uniformly convex or they satisfy that asymptotic centers of bounded sequences are compact. Nominally, we consider pointwise eventually nonexpansive mappings, pointwise asymptotically nonexpansive mappings and asymptotically type nonexpansive. We do not assume the existence of a continuous iterated, solving some long-standing open questions about existence of a fixed point for these mappings in absence of continuity.
