一致L-lipschitz渐近伪压缩映象的三重迭代解

Three-step Iterative Solutions of Operator Equations for Uniformly L-lipschitz Asymptotically Pseudo-contractive Mappings

该文在一般Banach空间中研究了渐近伪压缩映象方程具误差的三重迭代解的逼近问题.把文中证明所用下确界改为下极限,保证了必有一点列收敛.本证明还改进了文献[2]中的主要结果,证明方法也不同于[2]中给出的.

In this paper,I am going to study three-step iterative solutions of equations for Asymptotically Pseudo-contractive mappings.My research have generalized the iterative methods of reference from two-step iteration to three-step iteration.I modified the infimum to inferior limit in the provement of reference,so we must find one sequence that converges to one number;moreover my research will improve the main results in reference[2],the reasoning methods in my paper are not the same as reference [2].