The Generalized $F$-Complementarity Problem and ItsEquivalence with the Variational Inequality Problem
广义F-互补问题及其与变分不等式问题的等价性

The generalized $F$-complementarity problem is introduced in Banach space. Then, the equivalencebetween this problem and some related variational inequality problem is studied. Finally, the existence and uniqueness of the solution of the variational inequality problem is given.