Banach空间中二元算子方程组解的存在唯一性及其迭代解法  

Existance and Uniqueness of Solutions for Some Classes Systems of Two Binary Operator Equations and Their Iterative Solution Methods in Banach Spaces

作　　者：陈春芳[1] 朱传喜[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《数学的实践与认识》2009年第8期238-246,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10461007;10761007);江西省自然科学基金(2007GZS2051;2008GZS0076);江西省教育厅科研项目(2006)8号

摘　　要：利用锥理论与半序方法对Banach空间中几类二元算子方程组解的存在唯一性进行探讨,给出它们的迭代求解法,得到了一些新结果.Using the cone and partial ordering theory, the existence and uniqueness of solution for some classes systems of two binary operations are discussed in Banach Space, and the iterative methods for them are also given, some new results are obtained.

关 键 词：锥 算子方程组 迭代求解法 

分 类 号：O177.91[理学—数学]