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ITERATIVE ALGORITHMS FOR NONLINEAR OPERATORS

Published online by Cambridge University Press:  24 March 2003

HONG-KUN XU
Affiliation:
Department of Mathematics, University of Durban–Westville, Private Bag X54001, Durban 4000, South Africahkxu@pixie.udw.ac.za
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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.

Type
Notes and Papers
Copyright
The London Mathematical Society, 2002

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