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

Authors

  • Phạm Gia Hưng Nha Trang University, Viet Nam
  • Lê Dũng Mưu Institute of Mathematics, Vietnamese Academy of Science and Technology, Viet Nam

DOI:

https://doi.org/10.37569/DalatUniversity.2.2.197(2012)

Keywords:

Pseudomonotone equilibrium problem, Inexact Tikhonov and proximal point methods

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.

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Published

30-06-2012

Volume and Issues

Section

Natural Sciences and Technology

How to Cite

Hưng, P. G., & Mưu, L. D. (2012). ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS. Dalat University Journal of Science, 2(2), 51-56. https://doi.org/10.37569/DalatUniversity.2.2.197(2012)