Vector F-implicit complementarity problems in Banach spaces

AbstractIn this work, a new class of vector F-implicit complementarity problems and vector F-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 F-implicit complementarity problems and the vector F-implicit variational inequality problems by using the FKKM theorem under some suitable assumptions without monotonicity