Vector Equilibrium Problems With New Types of Generalized Monotonicity

Nihar Kumar Mahato, Chandal Nahak

In this paper, we introduce the concept of generalized relaxed $\alpha$-pseudomonotonicity for vector valued bi-functions. By using the KKM technique, we obtain some substantial results of the vector equilibrium problems with generalized relaxed $\alpha$-pseudomonotonicity assumptions in reflexive Banach spaces. Several examples are provided to illustrate our investigations.