河南科学
河南科學
하남과학
HENAN SCIENCE
2007年
5期
701-704
,共4页
Banach空间%二元算子%算子方程组%迭代解法
Banach空間%二元算子%算子方程組%迭代解法
Banach공간%이원산자%산자방정조%질대해법
Banach space%two binary operator%system of operator equations%iterative solution
利用混合单调算子和锥与半序理论,讨论Banach空间中几类非线性二元算子方程组的解的存在性和唯一性,并给出迭代序列收敛于解的误差估计,改进和推广了关于二元算子方程和方程组可解性的相应结果.
利用混閤單調算子和錐與半序理論,討論Banach空間中幾類非線性二元算子方程組的解的存在性和唯一性,併給齣迭代序列收斂于解的誤差估計,改進和推廣瞭關于二元算子方程和方程組可解性的相應結果.
이용혼합단조산자화추여반서이론,토론Banach공간중궤류비선성이원산자방정조적해적존재성화유일성,병급출질대서렬수렴우해적오차고계,개진화추엄료관우이원산자방정화방정조가해성적상응결과.
Using the mixed monotone operators theory and the cone with partially ordered theory, the existence and uniqueness of solutions for some classes of systems of nonlinear two binary operator equations are discussed. And the error estimates that the iterative sequences converge to solutions are also given. Some relevant results about the sovabilitg of two binary operators equations and systems of operator equations are improved and generalized.
