一类广义非线性拟似变分包含的扰动逼近点算法(英文)

Perturbed proximal point algorithm for a class of generalized nonlinear quasi-variational-like inclusions

利用η-逼近映射的方法,对广义非线性拟似变分包含,构造一种新的扰动迭代算法,同时讨论了这种算法生 成的迭代序列的收敛和稳定.

In this paper, by using the η-proximal mapping technique due to Ding and Luo, and Lee et al., we construct a new perturbed iterative algorithm to solve a class of generalized nonlinear quasi-variational-like inclusions. We also discuss the convergence and stability of the iterative sequence generated by the algorithm. The results in this paper extend many known results in the literature.