The Equilibrium Equivalent Representation for Variational Inequalities Problems with Its Application in Mixed Traffic Flows

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 ...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Hadamard Well-posedness for a Family of Mixed Variational Inequalities and Inclusion Problems‎

In this paper, the concepts of well-posednesses and Hadamard well-posedness for a family of mixed variational inequalities are studied. Also, some metric characterizations of them are presented and some relations between well-posedness and Hadamard well-posedness of a family of mixed variational inequalities is studied. Finally, a relation between well-posedness for the family of mixed variatio...

Essential Components of the Solution Set for Multiclass Multicriteria Traffic Equilibrium Problems

Wardrop [1] introduced the famous user equilibrium principle for traffic network, which is a scalar equilibrium principle. Smith [2] investigated that a Wardrop's user equilibrium flow is equivalent to the solution of a class of variational inequalities when the travel cost function is a scalar function. Recently, many researchers have proposed equilibrium models based on multicriteria consider...

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems