| 摘要: |
| 摘 要:研究了一类广义混合变分不等式;利用η - 次微分和η - 近似映象这两个概念讨论了这种广义
混合变分不等式解的存在性;并结合分裂技巧和自适应迭代技巧提出了一个求解这种广义混合变分不等式
的显式迭代算法;最后证明了该算法在适当的条件下收敛. |
| 关键词: 关键词:变分不等式 η2次微分 η2近似映象 显式迭代算法 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Existence of solutions and iterative methods for generalized mixed variational i nequalities |
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YAO L i
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| Abstract: |
| Abstract: In this paper, we introduce and study a class of generalized mixed variational inequalities, app lying
two concep ts ofη2subdifferential andη2p roximalmapp ings of p roper functionals, we discuss existence of solutions
for generalized mixed variational inequalities. Combining sp littingmethod and self2adap tive iterative method,we sug2
gest and analyze a exp licit iterative method for solving generalized mixed variational inequalities. The new iterative
method converge sunder certain mild conditions. |
| Key words: Key words: variational inequalities η2subdifferential η2p roximalmapp ings exp licit iterative methods |
