映射族的Tikhonov-Mann迭代的渐近正则速率
Rates of asymptotic regularity of the Tikhonov-Mann iteration for families of mappings
AI总结：
该研究将希尔伯特空间中非扩张映射族的Krasnoselskii-Mann型强收敛迭代推广至W-双曲空间，算出其有效渐近正则速率，同时把Tikhonov-Mann迭代的相关结果从单映射拓展到映射族。
摘要：
本文将Boţ与Meier近期在希尔伯特空间中提出的、针对非扩张映射族的强收敛Krasnoselskii-Mann型迭代，推广到W-双曲空间的抽象框架下，并计算了该推广形式的有效渐近正则速率。这也将Leuştean与作者近期关于Tikhonov-Mann迭代的结果，从单个映射推广到了映射族。
英文摘要：
In this paper we generalize the strongly convergent Krasnoselskii- Mann-type iteration for families of nonexpansive mappings defined recently by Boţ and Meier in Hilbert spaces to the abstract setting of W - hyperbolic spaces and we compute effective rates of asymptotic regularity for our generalization. This also generalizes recent results by Leuştean and the author on the Tikhonov-Mann iteration from single mappings to families of mappings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
