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二元非混合单调算子方程组的迭代求解
引用本文:左秀会.二元非混合单调算子方程组的迭代求解[J].数学季刊,2001,16(3):80-83.
作者姓名:左秀会
作者单位:商丘师范学院数学系!河南商丘476000
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,并给出了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。

关 键 词:二元算子  混合单调算子  方程组      半序  算子方程组  Banach空间

Iterative Solution for Systems of Binary Non-mixed Monotone Operator Equations
ZUO Xiu-hui.Iterative Solution for Systems of Binary Non-mixed Monotone Operator Equations[J].Chinese Quarterly Journal of Mathematics,2001,16(3):80-83.
Authors:ZUO Xiu-hui
Abstract:With using the cone and partial ordering t heory and mixed monotone operator theory, the existence and uniqueness for solut ion of systems of non-monotone binary nonliear operator equations are discussed. And the iterative sequences which converge to solution of systems of operator e quations and the error estimates are also given. Some corresponding results for the mixed monotone operations and the unary operator equations are improved and generalized.
Keywords:binary operator  mixed monotone operators  syste ms of equations  solutions  cone and partial ordering
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