利用锥与半序理论和混合单调算子理论,讨论Ba nach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.%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.
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机译：利用锥与半序理论和混合单调算子理论,讨论Ba nach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.%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.
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