New Aspects of Extended General Equilibrium Inclusions

Some new classes of extended general equilibrium inclusions are introduced and investigated. We have established the equivalence between the general equilibrium inclusions and the fixed point problems, which is used to discuss the unique existence of the solution. Using various techniques such as resolvent methods, dynamical systems coupled with finite difference approach, we suggest and analyze a number of new multi step methods for solving equilibrium inclusions. Convergence analysis of these methods is investigated under suitable conditions. Sensitivity analysis is also investigated. Various special cases are discussed as applications of the main results. Several open problems are suggested for future research.