Abstract
We propose a strongly convergent algorithm for solving strongly monotone variational inequality problems over the solution set of a split monotone equilibrium problem. The proposed algorithm can be considered as a combination of an extragradient method for monotone equilibrium problems and a projection procedure for variational inequalities. Under some suitable assumptions the sequence of iterates generated by the algorithm is strongly convergent to the unique solution of the problem. We then apply the algorithm to a coupled differentiated Nash-Cournot production equilibrium model with environmental constraints.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
