论文标题
交替的Halpern-Mann迭代的渐近规则性率
Rates of asymptotic regularity for the alternating Halpern-Mann iteration
论文作者
论文摘要
在本文中，我们扩展到$ ucw $ - 氢化空间的定量渐近规则性结果，用于Dinis获得的交替的Halpern-Mann迭代和CAT（0）空间的第二作者。这些结果即使对于均匀凸的规范空间也是新的。此外，对于参数序列的特殊选择，我们计算$ W $ hyperbolic空间中的渐近规律性线性速率，而二$ t $ - 和$ u $ $ u $ y $ a-u $ asmptotic的规律性的线性速率在猫（0）空间中。
In this paper we extend to $UCW$-hyperbolic spaces the quantitative asymptotic regularity results for the alternating Halpern-Mann iteration obtained by Dinis and the second author for CAT(0) spaces. These results are new even for uniformly convex normed spaces. Furthermore, for a particular choice of the parameter sequences, we compute linear rates of asymptotic regularity in $W$-hyperbolic spaces and quadratic rates of $T$- and $U$-asymptotic regularity in CAT(0) spaces.
