应用广义$f$-投影算子引入了一类新的迭代方法, 并用此方法在Banach空间的非紧子集上证明了一个关于一类广义变分不等式的强收敛定理; 该定理中所涉及到的映射既不具备紧性也不具备单调性.所得结果推广了最近一些相关定理.

By using the generalized f-projection operator and the monotone hybrid pro-jection method, we introduce a new iterative sequence for finding a solution of a  eneralized variational inequality. Moreover, we obtain a strong convergence theorem for the generalized variational inequality in noncompact subsets of Banach spaces without assuming the compact- ness of mappings. Conditions on the theorem are weaker than those of recent some related theorems. The conclusions extend and develop previous related results.