Vector image-implicit complementarity problems in topological vector spaces Original Research Article

Recently, Huang and Li [J. Li, N.J. Huang, Vector FF-implicit complementarity problems in Banach spaces, Appl. Math. Lett. 19 (2006) 464–471] introduced and studied a new class of vector FF-implicit complementarity problems and vector FF-implicit variational inequality problems in Banach spaces. In this work, we study this class in topological vector spaces and drive some existence theorems for the vector FF-implicit variational inequality and vector FF-implicit complementarity problem. Also, their equivalence is presented under certain conditions.