强伪压缩映像的不动点的迭代逼近

Iterative Approximation of Fixed Points of Strongly Pseudocontracitive Mappings

在一般Banach空间中证明了无界区域上的Lipschitz强伪压缩映像的Ishikawa迭代序列强收敛于该映像的不动点 ,并给出了强增生算子方程Tx =f的迭代解 .

The Ishikewa,iterative sequence of a Lipschitz strongly pseudocontractive mapping with unbounded demain is proved to converge to its unique fixed point in general Banach spaces,and also the interative solution to the strongly accretive operator equation Tx=f is presented.