ITERATIVE ALGORITHMS FOR NONLINEAR OPERATORS

HONG-KUN XU

doi:10.1112/S0024610702003332

Abstract

Iterative algorithms for nonexpansive mappings and maximal monotone operators are investigated. Strong convergence theorems are proved for nonexpansive mappings, including an improvement of a result of Lions. A modification of Rockafellar’s proximal point algorithm is obtained and proved to be always strongly convergent. The ideas of these algorithms are applied to solve a quadratic minimization problem.

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ITERATIVE ALGORITHMS FOR NONLINEAR OPERATORS

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