Vector FF-implicit complementarity problems in Banach spaces

In this work, a new class of vector FF-implicit complementarity problems and vector FF-implicit variational inequality problems are introduced and studied, and the equivalence between of them is presented under certain assumptions in Banach spaces. We also derive some new existence theorems of solutions for the vector FF-implicit complementarity problems and the vector FF-implicit variational inequality problems by using the FKKM theorem under some suitable assumptions without monotonicity.