拟φ-严格渐近伪压缩映像族的具误差的收缩投影算法

Shrinking Projection Methods of Error for a Family of Quasi-φ-strict Asymptotically Pseudo-contractions

在自反、严格凸、光滑的Banach空间中,设计出拟φ-严格渐近伪压缩映像族的公共不动点的具误差的收缩投影算法,并利用广义投影算子和K-K性质等技巧证明了算法的强收敛性。所得结果改进与推广了近期的相关结果。

In strictly convex,reflexive,smooth Banach spaces,a new contractions projection algorithm of error for a family of quasi- φ- strict asymptotically pseudo- contractions of common fixed point. A strong convergence theorem of the common elements is proved by using generalized projection operator,the K- K property and other analysis techniques. The results presented in this paper improve and extend the corresponding ones announced by many others.