ISHIKAWA和MANN迭代过程下强伪压缩映射的收敛性定理(英文)

Convergence Problems of Strongly Pseudo-Contractive Mappings by Ishikawa and Mann Iterative Processes

应用新的逼近方法去研究在ISHIKAWA和MANN迭代过程下非LIPSCHITZ的强伪压缩映射的收敛性定理。在更一般的假设下 ,这些定理改进和推广了近期的一些研究结果 (见参考文献 [1],[3～ 6 ],[11～ 12 ],[14])

The purpose of this paper is to study the convergence problem of Ishikawa and Mann iterative processes for a strongly pseudo-contractive mapping T without the Lipschitz condition by using a new approximation method.The results presented in this paper improve and extend the corresponding result of [1,3-6,11-12,13-14] in more general setting.