The existence of uniqueness non standard equilibrium problems

In this paper, the concept of \eta\xi-monotonous operator is explored using KKM mapping. The  existence results and uniqueness dened on its bounded and unbounded domains are discussed. Our ndings improve and develop some well-known solutions in literature.

Keywords:

Monotonicity , Equilibrium problem set-valued mapping , Hemicoutinuity , KKM-mapping , Semi continuouse , convex function