任意Banach空间中多值Φ-强增生型非线性算子方程的迭代解(英文)

Iterative solutions of nonlinear equations for multi-valued Φ-strongly accretive type operators in a

摘要: 使用一些分析技巧 ,讨论了任意 Banach空间中的多值和单值 Φ-强增生型非线性算子方程解的迭代逼近问题 ,且算子不必满足 Lipschitz条件 ,这些结果改进和发展了 Chang,Chidume,Deng- Ding,Liu,Osilike以及 Tan- Xu等人的一系列相关结果 .

Abstract: Using some analysis techniques,we discuss problem of iterative approximation of solutions of the nonlinear equation for multi valued Φ strongly accretive operators in arbitrary Banach spaces.The operators may not satisfy Lipschitzian conditions.Our results improve and extend the corresponding results by Chang,Chidume,Deng and Ding,Liu,Osilike and Tan and Xu,et al.