In this note we construct a sequence of Picard iterates suitable for the approximation of solutions of $K$-positive definite operator equations in arbitrary real Banach spaces. Explicit error estimate is obtained and convergence is shown to be as fast as a geometric progression.
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机译:在本文中,我们构造了一系列Picard迭代,适用于在任意实Banach空间中逼近$ K $正定算子方程的解。获得了显式误差估计,并且收敛被证明与几何级数一样快。
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