| 非凸变分不等式和非扩张映象的Wiener-Hopf方法 |
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| 引用本文： | 闻道君,宋树枝,龙宪军. 非凸变分不等式和非扩张映象的Wiener-Hopf方法[J]. 云南大学学报(自然科学版), 2012, 0(1): 5-8 |
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| 作者姓名： | 闻道君 宋树枝 龙宪军 |
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| 作者单位： | 重庆工商大学数学与统计学院 |
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| 基金项目： | 国家自然科学基金资助项目(11001287);重庆市教委科技研究资助项目(KJ 110701);重庆市自然科学基金资助项目(CSTC2010BB9254) |
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| 摘 要： | 介绍了一类新的包含非扩张映象的非线性Wiener-Hopf方程,建立了非凸变分不等式问题与Wiener-Hopf方程的等价关系,进一步给出了一个求解非凸变分不等式和非扩张映象不动点的逼近方法,并在算子具有α-强制性的条件下证明了该方法所产生的迭代序列的强收敛性.
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| 关 键 词： | 非凸变分不等式 Wiener-Hopf 方程 一致近似正规集 α-强制映象 不动点 |
Wiener-Hopf equation technique for nonconvex variational inequalities and nonexpansive mappings |
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| WEN Dao-jun,SONG Shu-zhi,LONG Xian-jun. Wiener-Hopf equation technique for nonconvex variational inequalities and nonexpansive mappings[J]. Journal of Yunnan University(Natural Sciences), 2012, 0(1): 5-8 |
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| Authors: | WEN Dao-jun SONG Shu-zhi LONG Xian-jun |
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| Affiliation: | (College of Mathematics and Statistics,Chongqing University of Technology and Business,Chongqing 400067,China) |
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| Abstract: | A new class of nonlinear Wiener-Hopf equations with a nonexpansive mappings is introduced.The equivalence between the Wiener-Hopf equations and nonconvex variational inequality is established to analyze an iterative scheme for finding a common element of the set of solutions of the nonconvex variational inequality and the set of fixed points of nonexpansive mappings.The convergence analysis of the approximation methods is also cosidered under some suitable conditions. |
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| Keywords: | nonconvex variational inequality Wiener-Hopf equations uniformly prox-regular set α-cocoercive mapping fixed point |
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