Cooperation in traffic network problems via evolutionary split variational inequalities

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 ...

Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational ‎Inequalities

In this paper, the concept of pseudoconvexity and quasiconvexity for continuous~-time functions are studied and an equivalence condition for pseudoconvexity is obtained. Moreover, under pseudoconvexity assumptions, some relationships between Minty and Stampacchia vector variational inequalities and continuous-time programming problems are presented. Finally, some characterizations of the soluti...

Further Results for General Financial Equilibrium Problems via Variational Inequalities

This paper is the sequel of the previous papers [1] and [2]. More precisely, we study the regularity of the solutions of the evolutionary variational inequality governing the general financial evolutionary problem. Specifically we obtain that such a solution is continuous and Lipschitz continuous with respect to time and we illustrate the achieved result through numerical examples. Moreover the...

A variational model for equilibrium problems in a traffic network

We propose a variational model for one of the most important problems in traffic networks, namely, the network equilibrium flow that is, traditionally in the context of operations research, characterized by minimum cost flow. This model has the peculiarity of being formulated by means of a suitable variational inequality (VI) and its solution is called “equilibrium”. This model becomes a minimu...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points