WEIGHTED QUASI-VARIATIONAL INEQUALITIES AND CONSTRAINED NASH EQUILIBRIUM PROBLEMS

Weighted Quasi-variational Inequalities and Constrained Nash Equilibrium Problems

The weighted quasi-variational inequalities over product of sets (for short, WQVIP) and system of weighted quasi-variational inequalities (for short, SWQVI) are introduced. It is shown that these two problems are equivalent. A relationship between SWQVI and system of vector quasi-variational inequalities is given. The concept of normalized solutions of WQVIP and SWQVI is introduced. A relations...

Strong convergence for variational inequalities and equilibrium problems and representations

We introduce an implicit method for nding a common element of the set of solutions of systems of equilibrium problems and the set of common xed points of a sequence of nonexpansive mappings and a representation of nonexpansive mappings. Then we prove the strong convergence of the proposed implicit schemes to the unique solution of a variational inequality, which is the optimality condition for ...

First Workshop on “ Variational inequalities , Nash equilibrium problems and applications ”

ORGANIZERS: Sofia Giuffrè Mediterranea University of Reggio Calabria Laura Scrimali University of Catania SPONSORS: Dipartimento di Matematica e Informatica University of Catania Dipartimento di Ingegneria dell’Informazione, delle Infrastrutture e dell’Energia Sostenibile Mediterranea University of Reggio Calabria Istituto Nazionale di Alta Matematica ”Francesco Severi” Titles and abstracts Sam...

Primal and Dual Gap Functions for Generalized Nash Equilibrium Problems and Quasi-Variational Inequalities

ii Acknowledgments The last three years passed by so quickly. And when I look back, I remember the long way that brought me so far. Many steps had to be taken during my graduation race. All the time Christian Kanzow has been playing an essential role as an outstanding trainer with clear mindset and strong knowledge. He helped me to reach the finish line – by coaching and motivating, especially ...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points