The Study of KKM Theorems With Applications to Vector Equilibrium Problems and Implict Vector Variational Inequalities Problems

摘要

[[abstract]]In this paper, we establish some equivalence relations between coincidence theoremsand KKM-type theorems. We also obtain some new coincidence theorems and fixed pointtheorems. Applying the KKM-type theorems we obtain the existence theorems of generalizedvector equilibrium problems. From these results, some existence theorems of generalizedvector implicit variational inequality problems are established in this paper.