| Iterative Solutions for a Non-monotone BinaryOperator Equations and Operator System of Equations |
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| 作者姓名： | ZHANG Fei-ran ZHOU Xiao-zhong
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| 作者单位： | [2]DepartmentofPrintEngineering,theAdvancedCollegeofShanghaiPublishingPrint,Shanghai200093,China [3]DepartmentofMathematics,ShangqiuTeacher＇sCollege,Shangqiu476000,China |
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| 基金项目： | Supported by the Scientific Research Foundation of Henan Provincial Education Com mittee(1999110018) |
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| 摘 要： | By using the theory of the cone and partial ordering. It is studied that the existence and uniqueness of solutions for a non-monotone binary operator equation A(x, x)= x and operator system of equations A(x,x)=x,B(x,x)=x in Banach spaces. Where A and B can be decomposed A=A1+A2, B=B1+B2,A1 and B1 are mixed monotone, A2 and B2 are anti-mixed monotone. The results presented here improve and generalize some corresponding results of mixed monotone operator equations.
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| 关 键 词： | 迭代 单调 二元 算子 方程式 非线性 |
Iterative Solutions for a Non-monotone BinaryOperator Equations and OperatorSystem of Equations |
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| ZHANG Fei-ran,ZHOU Xiao-zhong
..Iterative Solutions for a Non-monotone BinaryOperator Equations and Operator System of Equations[J].Chinese Quarterly Journal of Mathematics,2004,19(1):69-74. |
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| Authors: | ZHANGFei-ran ZHOUXiao-zhong |
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| Abstract: | By using the theory of the cone and partial ordering. It is studied that theexistence and uniqueness of solutions for a non-monotone binary operator equation A(x, x) =x and operator system of equations A(x, x) = x, B(x, x) = x in Banach spaces. Where Aand B can be decomposed A = A1 A2,B = B1 B2, A1 and B1 are mixed monotone, A2and B2 are anti-mixed monotone. The results preeented here improve and generalize somecorresponding results of mixed monotone operator equations. |
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| Keywords: | cone and partial ordering operator equations anti-mixed monotone |
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