一类广义Lipschitz非线性算子的带误差的Ishikawa迭代程序

Ishikawa Iteration Procedures with Errors for Certain Generalized Lipschitzian Nonlinear Operators

借助于周海云和陈东青［４］新近引入的广义Ｌｉｐｓｃｈｉｔｚ概念，研究了实Ｂａｎａｃｈ空间中广义Ｌｉｐｓｃｈｉｔｚ －强伪压缩算子的不动点和广义Ｌｉｐｓｃｈｉｔｚ －强增算子方程解的迭代逼近问题，所得结果改进和扩展了近期许多相关的结果，并部分地回答了周海云［３］提出的一个问题．

In the present paper, by virtue of a concept of generalized Lipschitzian map- ping introduced by Zhou and Chen[4], we discuss problem of iterative approximation of fixed points for generalized Lipschitzian - strong pseudo-contractive mappings and of solutions of the equation for generalized Lipschitzian - strongly accretive operators in real Banach spaces. Our results improve and extend the recent corresponding resullts,and answer partly the open problem pat forward by Zhou[3].