巴拿赫空间上的强收敛(英文)

Strong Convergence on Banach Spaces

通过研究一种相对于Mann型和Ishikawa型进一步推广的迭代方式,给出了Banach空间中有限个非扩张映射逼近序列的强收敛定理.该结论不仅推广了文献[2]中Chidume和Shahzad的结论,而且弱化了原定理中对非扩张映射的要求,去掉了"半紧"的限制条件.

Strong convergence theorem for approximation of common fixed points of a finite family of non -expansive mappings is given in Banach spaces by employing an implicit iteration, which is a generalized Mann - type and Ish- ikawa -type scheme. This work improves Chidume and Shahzad＇s result and relaxes the restriction about those non - expansive mappings by deleting the ＂semi - compact＂ condition.