强增生型变分包含解的具误差的迭代逼近

Iterative Approximation with Errors for Solutions to Variational Inclusions With Strongly Accretive Type Mapping

建立了Banach空间中一类强增生型变分包含解的存在唯一性及其具误差的Mann和Ishikawa迭代程序逼近的一般性原理 ,指出已被广泛研究的强增生型变分包含解的Mann和Ishikawa迭代程序逼近问题仅是具误差的Ishikawa迭代程序的特例 。

We established the generic principle in Banach spaces about unique existence of solutions and approximation of Ishikawa iterative procedures with errors for a class of variational inclusions with strongly accretive type mappings. It is also pointed out that this problem, widely researched approximation of Ishikawa iterative procedures for variational inclusions with strongly accretive type mappings, is only an especied example of Ishikawa iterative procedures with errors. The results are the popularization and deuelopment of the recent corresponding results.