Auxiliary principle technique for solving generalized set-valued nonlinear quasi-variational-like inequalities

作者：Huang, NJ^*; Fang, YP

来源：Mathematical Inequalities & Applications, 2003, 6(2): 339-350.

DOI：10.7153/mia-06-32

• quasi-variational-like inequality
• auxiliary principle technique
• iterative algorithm
• convergence

In this paper, we introduce and study a new class of generalized set-valued nonlinear quasi-variational-like inequalities in Hilbert spaces and construct some iterative algorithms to compute the approximating solutions of this class of generalized set-valued nonlinear quasi-variational-like inequalities by using the auxiliary principle technique. We also give the convergence analysis of the iterative sequences generated by the algorithms. The results presented in this paper extend and improve the corresponding results announced by Ding.

• 出版日期2003-4
• 单位四川大学