拟φ-渐近非扩展映像不动点的具误差的迭代算法

Iterative Method of Fixed Points with Errors for Quasi φ-asymptotically Nonexpansive Mapping

在具有K-K性质的自反、光滑、严格凸的Banach空间中,给出了一种关于拟φ-渐近非扩展映像的不动点的具误差的杂交算法,并利用拟φ-渐近非扩展映像和Lyapunov等技巧证明了算法的强收敛性。所得结果是近期相关结果的改进与推广。

A kind of new hybrid projection algorithm for quasi φ- asymptotically nonexpansive mapping of fixed point with errors in K- K property,reflexive and smooth strictly convex Banach spaces was introduced,and a new strong convergence theorem by using new analysis techniques was established. The results improves and extends recent some relative research.