Successive approximations

M. A. Krasnosel’skii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii and V. Ya. Stetsenko

Chapter 1 in Approximate Solution of Operator Equations, 1972, pp 1-69 from Springer

Abstract: Abstract 1.1. Contraction operators. Let A be an operator defined on a set A in a Banach space E, satisfying a Lipschitz condition 1.1 $$\left\| {Ax - Ay} \right\| \le q\left\| {x - y} \right\|\left( {x,y \in \Re } \right).$$ If q

Keywords: Banach Space; Spectral Radius; Monotone Operator; Successive Approximation; Lipschitz Condition (search for similar items in EconPapers)
Date: 1972
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DOI: 10.1007/978-94-010-2715-1_1

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