凸轨道非展开型映射的定点结果

IF 0.7 4区 数学 Q2 MATHEMATICS Topological Methods in Nonlinear Analysis Pub Date : 2024-03-03 DOI:10.12775/tmna.2023.047
E. Llorens-Fuster
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引用次数: 0

摘要

我们定义了几类广义非展开映射,这些映射是在有关其轨道中两个连续点的凸组合的假设条件下定义的。对于这些映射,在巴拿赫空间享有法线结构的背景下,我们提供了几个定点结果。
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Fixed point results for convex orbital nonexpansive type mappings
We define some classes of generalized nonexpansive mappings under assumptions concerning the convex combinations of two consecutive points in their orbits. For these mappings, in the setting of Banach spaces that enjoy normal structure, we provide several fixed point results.
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来源期刊
CiteScore
1.00
自引率
0.00%
发文量
57
审稿时长
>12 weeks
期刊介绍: Topological Methods in Nonlinear Analysis (TMNA) publishes research and survey papers on a wide range of nonlinear analysis, giving preference to those that employ topological methods. Papers in topology that are of interest in the treatment of nonlinear problems may also be included.
期刊最新文献
Retracting a ball in $\ell_1$ onto its simple spherical cap A characterization of the family of iterated nonexpansive mappings under every renorming Kazimierz Goebel (1940-2022) Fixed point for mappings of asymptotically nonexpansive type in Lebesgue spaces with variable exponents Explicit models of ℓ_1-preduals and the weak* fixed point property in ℓ_1
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