On the existence of solutions of generalized equilibrium problems with α − β − η -monotone mappings

The present paper is concerned with the new concept of relaxed α − β − η -monotonicity and relaxed α − β − η -pseudomonotonicity in Banach space which is applied to prove the existence of solutions of generalized equilibrium problem and classic equilibrium problem. In this regard, we use the well-known KKM-theory to obtain solutions of mentioned problems