算子方程耦合解的存在性  

The Existence of Coupled Solutions of Abstract Operator Equations

作　　者：吴德宇[1] WU De-yu(Department of Basic Courses,Zhengzhou University of Science and Technology,Zhengzhou 450064,China)

机构地区：[1]郑州科技学院基础部,河南有郑州450064

出　　处：《数学的实践与认识》2024年第2期175-181,共7页Mathematics in Practice and Theory

摘　　要：研究抽象的算子方程组的耦合解的存在性.主要是运用算子单调迭代方法,得到所需要的良序集,即文中的良序链,然后得到抽象算子方程组的耦合解和极大极小耦合解的存在性定理.In this paper,we study the existence of coupled solutions of abstract operator equations.Through monotone iterative method,we obtain the needed well-ordered set which is well-ordered chain.Then we obtain the existence theorems of coupled solutions and extremal coupled solutions of abstract operator equations.

关 键 词：耦合不动点 极大极小耦合不动点 耦合解 极大极小耦合解 

分 类 号：O177[理学—数学]