在任意实Banach空间中,研究了渐近伪压缩映象不动点迭代逼近的充分必要条件,所得结果中无需定义域和值域有界,改进和推广了已有的一些结果.
The purpose of this paper is to study a sufficient and necessary condition on the strong convergence of fixed point for an asymptotically pseudocontractive mapping in Banach spaces. Our results discard the boundedness of the domain and range which improve and extend some recent corresponding results.