We suggest and analyze a new self-adaptive method for solving general mixed variational inequalities, which can be viewed as an improvement of the method of Noor 2003 . Global convergence of the new method is proved under the same assumptions as Noor’s method. Some preliminary computational results are given to illustrate the efficiency of the proposed method. Since the general mixed variationa...

In this paper, we introduce and study a system of mixed variational-like inclusions and a system of proximal operator equations in Banach spaces which contains variational inequalities, variational inclusions, resolvent equations, system of variational inequalities and system of variational inclusions in the literature as special cases. It is established that the system of mixed variational-lik...

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...

In this paper we give an elementary introduction into the theory of variational inequalities and their application to general equilibrium analysis. Furthermore we incorporate some results on sensitivity analysis of variational inequalities on polyhe-dral sets.