Harmonic-Like Quasi Bifunction Equilibrium Inclusions

Some classes of harmonic-like quasi bifunction equilibrium inclusions are introduced and investigated. Using various techniques such as resolvent methods, auxiliary principle, dynamical systems coupled with finite difference approach, we suggest and analyze a number of new multistep iterative methods for solving harmonic-like quasi bifunction equilibrium inclusions. Convergence analysis of these methods is investigated under suitable conditions. Sensitivity analysis is also investigated. One can obtain a number of new classes of harmonic-like quasi function equlibrium problems by interchanging the role of operators. Various special cases are discussed as applications of the main results. Several open problems are suggested for future research.