Equilibrium Problems and Minimax Inequalities for Mappings with Noncompact Domain

In this paper we consider equilibrium problem and introduce minimization problem such as equilibrium problem. We also investigated minimax inequalitiy of Ky Fan and we proved a minimax inequality of mapping with non-compact domain by using the coincidence theorem, then given a minimax inequality for mappings with noncompact domain. As its direct consequences some minimax inequalities and minimax theorems are obtained.