一类含相对松驰Lipschitz连续算子的广义变分不等式

A Category of Generalized Variational Inequalities with Relative Relaxed Lipschitz Operators

构造了一类新的含相对松驰Lipschitz连续算子的广义变分不等式 ,给出了其解的一个存在性定理 ,提供了一个求其近似解的迭代算法 ,并证明了该算法的收敛性 ,推广了近期出现的多个结果。

In this paper, firstly, a new category of generalized variational inequalities with relative relaxed Lipschitz operators is introduced and an existential theorem for its solutions is given. Secondly, an iterative algorithm to find its approximate solutions is put forward and its convergence to the proper solutions is proved. Finally, a number of the latest results are presented.