摘要
利用锥理论和单调迭代方法,本文在Banach空间中对三类二元算子方程组的求解进行了探讨,利用较简捷的条件得出方程组的唯一解和迭代逼近式及误差估计式并推广到了n元算子方程组的情形,得到相应结果.
Using the cone and monotone iterative theory, the existence and uniqueness of solutions for three classes of systems of two binary operator equations in Banach space are discussed, and the error estimations for the convergent iterative sequence are also given. As a generalization, the solutions for some classes of n variable operator equations are also discussed.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2006年第5期1033-1038,共6页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金(10471075)
教育部高等学校博士点专项基金资助项目(20050446001)
山东省自然科学基金资助项目(Y2003A01)
关键词
二元算子方程组
逼近解
锥
systems of two binary operator equations
iterative solution
cone