Publications in Scientific Journals:
N.T.T. Van, J. Strodiot, V.H. Nguyen, V. Phan:
"An extragradient-type method for solving nonmonotone quasi-equilibrium problems";
Optimization,
2017
(2017),
14 pages.
English abstract:
In this paper, a quasi-equilibrium problem with a nonmonotone bifunction is considered in a finite-dimensional space. The primary difficulty with this problem is related to the fact that one must simultaneously solve a nonmonotone equilibrium problem and calculate a fixed point of a multivalued mapping. An extragradient-type method is presented and analysed for its solution. The convergence of the method is proved under the assumption that the solution set of an associated dual equilibrium problem is nonempty. Finally, some numerical experiments are reported.
Keywords:
Extragradient-type method, quasi-equilibrium problem, nonmonotone operator, convergence
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1080/02331934.2017.1416610
Created from the Publication Database of the Vienna University of Technology.