ITERATIVE APPROXIMATION OF THE SOLUTION OF A LOCALLY LIPSCHITZIAN EQUATION  

ITERATIVE APPROXIMATION OF THE SOLUTION OF A LOCALLY LIPSCHITZIAN EQUATION

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作  者:邹保康 

机构地区:[1]Tongji University, Shanghai

出  处:《Applied Mathematics and Mechanics(English Edition)》1991年第4期409-414,共6页应用数学和力学(英文版)

摘  要:Suppose X = Lp (or lp), p ≥ 2, T:D(T) &rarr X is a locally Lipschitzian and strictly accretive operator. In this paper, the iterative approximation of the solution of nonlinear equation Tx = y is given and the iterative approximation of a fixed point of a locally Lipschitzian and strictly pseudo-contractive mapping is discussed.Suppose X = Lp (or lp), p ≥ 2, T:D(T) &rarr X is a locally Lipschitzian and strictly accretive operator. In this paper, the iterative approximation of the solution of nonlinear equation Tx = y is given and the iterative approximation of a fixed point of a locally Lipschitzian and strictly pseudo-contractive mapping is discussed.

关 键 词:Mathematical Techniques Numerical Methods 

分 类 号:O3,O1[理学—力学]

 

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