Titlebook: Nonlinear Ill-posed Problems of Monotone Type; YAKOV ALBER,IRINA RYAZANTSEVA Book 20061st edition Springer Science+Business Media B.V. 200

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INTRODUCTION INTO THE THEORY OF MONOTONE AND ACCRETIVE OPERATORS, {xn} ? . to x ∈ X means that ∥x. ?x∥ → 0 as n→∞. In this case, x is a (strong) limit point of the sequence {x.}. If {x.} converges strongly to x ∈ X then 1) any subsequence {x.} ? {x.} also converges to the same point, 2) the sequence {∥xn ? ξ∥} is bounded for any ξ ∈ X.

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PARAMETERIZATION OF REGULARIZATION METHODS,nt for the operator regularization methods to be convergent to solutions of monotone and accretive operator equations. However, such a wide choice of parameters does not possess the regularizing properties in the sense of De.nition 5 (see Preface). Our aim in this chapter is to indicate the ways to

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978-90-481-7122-4Springer Science+Business Media B.V. 2006

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INTRODUCTION INTO THE THEORY OF MONOTONE AND ACCRETIVE OPERATORS, {xn} ? . to x ∈ X means that ∥x. ?x∥ → 0 as n→∞. In this case, x is a (strong) limit point of the sequence {x.}. If {x.} converges strongly to x ∈ X then 1) any subsequence {x.} ? {x.} also converges to the same point, 2) the sequence {∥xn ? ξ∥} is bounded for any ξ ∈ X.

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Book 20061st editionces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis...

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REGULARIZATION OF VARIATIONAL INEQUALITIES,1. Let . be an E-space, .. be a strictly convex space, . : . → 2.. be a maximal monotone operator with domain D(A), Ω ? .(.) be a convex closed subset in .. Let either