巴拿赫空间中两类压缩映射的不动点迭代法

Fixed Point Iterations for Two Contractive Type Mappings in Banach Spaces

该文讨论了两类压缩映象的不动点迭代问题,一类是李普希茨强增生映象,一类是所谓的拟压缩映象,并分别讨论了Mann迭代序列和Ishikawa迭代序列收敛于它的不动点问题。推广了Chidume和Tan K K的某些结果,使得这些迭代结果适用的范围更广。

The fixed point iterations of two contractive type mapping are studied. The two contractive type mapping are Lipschitzian Strongly accretive mapping and called quasi-contractive mapping. The authors discuss the problem that the Mann iteration sequence and the Ishikawa iteration sequence converge strongly to its fixed point. Respectively thus, The authors generalize some results of chidume and K K Tan and expanded the applied scope of the iteration result.