ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS

Phạm Gia Hưng, Lê Dũng Mưu

Abstract


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.


Keywords


Pseudomonotone equilibrium problem; Inexact Tikhonov and proximal point methods



DOI: http://dx.doi.org/10.37569/DalatUniversity.2.2.197(2012)

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