Banach空间中Lipschitz局部严格伪压缩映象带误差的Ishikawa迭代过程

Ishikawa Iterative Process with Errors for Lipschitz Local Strict Pscudo-contraction Operator in Banach Space

设X是任一实Banach空间 ,T :X→X是Lipschitz局部严格伪压缩映象 ,文中给出一个带误差的Ishikawa迭代序列强收敛到T的动点 ,并给出一个涉及Lipschitz局部增殖映象T的非线性方程Tx

Suppose that X is an arbitrary real Banach space, T : X →X is a Lipschitz strict pseuco-contraction. The Ishikawa iteration process with errors converges strongly to the unique fixed point of T is given in the paper. A related result deals with the problem that the Ishikawa iteration process with errors converges strongly to a solution of the equation Tx=f when T is Lipschitzian and local strongly accretive.