拟严格渐近伪压缩映射的不动点的收缩投影算法

On Shrinking Projection Methods of Fixed Points for Quasi-Strict Asymptotically Pseudo-Contractions

在自反的严格凸的具有K-K性质的光滑Banach空间中,设计了一种收缩投影算法用以逼近拟严格渐近伪压缩映射的不动点,并利用所设计的算法证明了不动点的强收敛定理.所得结果是近期相关结果的改进与推广.

The paper aims at proposing a shrinking projection method and at proving a strong convergence theorem for a quasi‐strict asymptotically pseudo‐contraction .Its results hold in reflexive ,strictly convex , smooth Banach spaces with the property K -K .The results of this paper illustrate improvement and ex‐tension of recent some relative results .