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| 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. |
| 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:Supported by National Natural Science Foundation of China (11371070). |
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| EXISTENCE OF SOLUTIONS AND ERROR BOUNDS FOR A GENERALIZED INVERSE MIXED QUASI-VARIATATIONAL INEQUALITY |
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ZHAO Ya-li,ZHANG Qian,WANG Feng-jiao,WANG Xing-he
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| 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 f-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, which extend and improve some results in the recent literature. |
| Key words: generalized inverse mixed quasi-variatational inequality generalized f-projection operator error bound residual function |
