Iterative Methods for General Bivariational Inequalities

Some new classes of general bivariational inequalities, which can be viewed as a novel important special case of variational equalities, are investigated. Projection method, auxiliary principle and dynamical systems coupled with finite difference approach are used to suggest and analyzed a number of new and known numerical techniques for solving bivariational inequalities. Convergence analysis of these methods is investigated under suitable conditions. One can obtain a number of new classes of bivariational inequalities by interchanging the role of operators. Sensitivi anaysis of the bivariational inequalities is also discussed. Some important special cases are highlighted. Several open problems are suggested for future research.