Variational inequalities in plasticity with strain-hardening - equilibrium finite element approach

Finite Element Approximation of Variational Inequalities in Optimal Control

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 ...

Error Estimates for the Finite Element Solutions of Variational Inequalities

For plecewise linear approximation of variational inequalities associated with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u-uh in the W 1’2norm is of order h. KEV WORDS AND PHRASES. Fine Element, V)nal Inequalities, Approximation, Mdly nonlinear. 1980 THEMATICS SUBJECT CLASSIFICATION CODES. Primary 5J20, 65N...

General equilibrium bifunction variational inequalities

In this paper, we introduce and consider a new class of equilibrium variational inequalities, called the mixed general equilibrium bifunction variational inequalities. We suggest and analyze some proximalmethods for solvingmixed general equilibriumbifunction variational inequalities using the auxiliary principle technique. Convergence of these methods is considered under somemild suitable condi...

Variational Inequalities and Economic Equilibrium

The existence of an equilibrium in an extended Walrasian economic model of exchange is confirmed constructively, under broad assumptions, by an iterative process. In this process, truncated variational inequality problems are solved in which the agents’ budget constraints are furnished with a penalty representation. Epi-convergence arguments are used to show that, in the limit, an equilibrium o...