SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS

Authors

  • Jean Jacques Strodiot Institute for Computational Science and Technology at Ho Chi Minh City (ICST HCMC), Vietnam, and University of Namur (FUNDP), Belgium,
  • Nguyễn Thị Thu Vân Institute for Computational Science and Technology at Ho Chi Minh City (ICST HCMC), Viet Nam
  • Nguyễn Văn Hiền Institute for Computational Science and Technology at Ho Chi Minh City (ICST HCMC),

DOI:

https://doi.org/10.37569/DalatUniversity.2.3.210(2012)

Keywords:

Scalar Quasi-Equilibrium Problem, Extragradient method

Abstract

In this paper we present two new extensions of Korpelevich's extragraclient method for solving the scalar Quasi-Equilibrium Problem (QEP) in Euclidean space. In both extensions we replace the second orthogonal projection in the correction step of the extragradient method by an Armijo linesearch adapted to (QEP). We show that in both extensions we obtain, under mild conditions and without a Lipschitz condition, the global convergence of our iterative methods for computing a quasi-equilibrium solution.

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Published

30-09-2012

Volume and Issues

Volume 2, Issue 3 (2012) - [No 3b, Old version]

Section

Natural Sciences and Technology

Copyright & License

Copyright (c) 2012 Jean Jacques Strodiot, Nguyễn Thị Thu Vân, Nguyễn Văn Hiền

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Strodiot, J. J., Vân, N. T. T., & Hiền, N. V. (2012). SOME ITERATIVE METHODS FOR QUASI-EQUILIBRIUM PROBLEMS. Dalat University Journal of Science, 2(3), 67-80. https://doi.org/10.37569/DalatUniversity.2.3.210(2012)
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