| 非单调二元非线性算子方程组的迭代求解 |
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| 引用本文： | 张庆政. 非单调二元非线性算子方程组的迭代求解[J]. 鲁东大学学报, 2000, 0(4) |
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| 作者姓名： | 张庆政 |
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| 作者单位： | 商丘师范学院数学系!河南商丘476000 |
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| 基金项目： | 河南省教委重点科研基金资助项目!( 2 0 0 0 1 1 0 0 1 9)，山东省自然科学基金资助项目!( Y97A1 2 0 1 7) |
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| 摘 要： | 利用锥与半序理论和混合单调算子理论 ,讨论 Banach空间中非单调二元非线性算子方程组解的存在性与唯一性 ,并给出收敛于方程组解的迭代序列和误差估计 ,改进和推广了混合单调算子方程和一元算子方程的某些相应结果 .
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| 关 键 词： | 二元非线性算子 方程组 解 锥与半序 |
Iterative solution for systems of non-monotone binary nonlinear operator equations |
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| ZHANG Qing zheng. Iterative solution for systems of non-monotone binary nonlinear operator equations[J]. Ludong University Journal (Natural Science Edition), 2000, 0(4) |
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| Authors: | ZHANG Qing zheng |
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| Abstract: | By using the cone and partial ordering theory and mixed monotone operator theory,the existence and uniqueness for solution of systems of non monotone binary nonlinear operator equations are discussed.And the iterative sequences which converge to solution of systems of operator equations and the error estimates are also given.Some corresponding results for the mixed monotone operator equations and the unary operator equations are improved and generalized. |
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| Keywords: | binary nonlinear operator systems of equations solutions cone and partial order i( |
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