ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS
DOI:
https://doi.org/10.37569/DalatUniversity.2.2.197(2012)Keywords:
Pseudomonotone equilibrium problem, Inexact Tikhonov and proximal point methodsAbstract
We investigate the inexact Tikhonov and proximal point regularisation methods for pseudomonotone equilibrium problems. In this ease, the regularised sub-problems may be not strongly monotone, even not pseudomonotone. However, any iterative sequence of the regularised sub-problems tends to the same solution of the original problem which is nearest to the starting point for the Tikhonov method.
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Copyright (c) 2012 Phạm Gia Hưng, Lê Dũng Mưu
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