Equilibrium problems with set-valued mappings in Banach spaces

In this paper we consider two classes of equilibrium problems which imply general αα-pseudomonotonicity and general αα-semipseudomonotonicity relative to a set-valued map on reflexive and nonreflexive Banach spaces, respectively. Using the classical KKM technique, we obtain some existence results under boundedness as well as under unboundedness assumptions. Some examples are given.