|
摘要: |
本文引入并研究希尔伯特空间中一类新的广义逆混合拟变分不等式问题(GIMQVI). 利用广义 投影算子的性质,得到了GIMQVI解的存在性和唯一性结果. 而且得到了利用剩余函数刻画的GIMQVI 的误差界. 本文得到的结果推广和改进了近期文献的一些结果. The results presented here extend and improve some results in the recent literature. |
关键词: 广义逆混合拟变分不等式 广义 投影算子 误差界 剩余函数 |
DOI: |
分类号:O224 |
基金项目:国家自然科学基金项目(面上项目,重点项目,重大项目) |
|
Existence of Solutions and error bounds for a generalized inverse mixed quasi-variatational inequalities |
ZHAO Ya-li
|
Abstract: |
. In this paper, we introduce and study a new class of generalized inverse mixed quasi-variatational inequalities (GIMQVI) in Hilbert spaces. By making use of the properties of generalized projection operator, we obtain the existence and uniqueness results for GIMQVI. Moreover, we also establish the error bounds for GIMQVI according to the residual function. The results presented here extend and improve some results in the recent literature. |
Key words: generalized inverse mixed quasi-variatational inequality generalized projection operator error bound residual function |