System of Generalized Vector Quasi-Equilibrium Problems with Applications to Fixed Point Theorems for a Family of Nonexpansive Multivalued Mappings

摘要

[[abstract]]In this paper, we establish the existence theorems of the generalized vectorquasi-equilibrium problems. From some existence theorem, we establish fixed point theoremsfor a family of lower semicontinuous or nonexpansive multivalued mappings. We alsoobtain the existence theorems of system of mixed generalized vector variational-like inequalitiesand existence theorems of the Debreu vector equilibrium problems and the Nash vectorequilibrium problems.