Existence and Stability of Solutions for Implicit Multivalued Vector Equilibrium Problems
San-hua Wang, Qiuying Li · Fixed Point Theory and Applications · 2011
Abstract A class of implicit multivalued vector equilibrium problems is studied. By using the generalized Fan-Browder fixed point theorem, some existence results of solutions for the implicit multivalued vector equilibrium problems are obtained under some suitable assumptions. Moreover, a stability result of solutions for the implicit multivalued vector equilibrium problems is derived. These results extend and unify some recent results for implicit vector equilibrium problems, multivalued vector variational inequality problems, and vector variational inequality problems.