| 摘要: |
| 摘 要:介绍了一类包含非扩张映射的变分不等式和Wiener2Hopf方程,基于投影技巧推导出两者之间
的等价关系,利用该等价关系提出了一个同步求解非扩张映射不动点和变分不等式的迭代算法,并在适当
条件下证明了该迭代算法的强收敛性;所得结论推广了该领域内的一些最新结果. |
| 关键词: 关键词:变分不等式 Wiener2Hopf方程 非扩张映射 Lip schitzian连续 松弛强制映射 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Iterative convergence of variational inequalities and non2expansive mappings |
|
GONG Qian2fen
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| Abstract: |
| Abstract: A class of variational inequalities including non2expansive mapp ings andWiener2Hopf equation are
introduced, based on p rojection technique, the equivalence relation between the two is deduced. On the basis of
this equivalence relation, an iterative algorithm for synchronously solving non2expansive mapp ings’ fixed points and
variational inequalities is p roposed. Under the p roper condition, the strong convergence of this iterative algorithm is
p roven, and the corresponding conclusions generalize some new results in this field. |
| Key words: Key words: variational inequalities W iener2Hopf equation non2expansive mapp ing L ip schitzian continuity relaxed coercive mapp ing |
