Hilbert空间中广义逆混合变分不等式的广义f-投影算法

A Generalized f-projection Algorithm to Generalized Inverse Mixed Variational Inequalities in Hilbert Space

文章研究了Hilbert空间中一类广义逆混合变分不等式解的存在性.利用广义f-投影算子的性质,构造了新的迭代公式,研究了这类迭代公式的收敛性,给出了所得的收敛结果是广义逆混合变分不等式的解.

In this paper, a new generalized inverse mixed variational inequalities is introduced in Hilbert space. The properties of the generalized f- projection algorithm operator is used to construct a new iterative algo- rithm and the convergence of sequences generated by the algorithm is studied.