| 非凸变分不等式和Wiener-Hopf方程的逼近方法 |
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| 引用本文： | 龚黔芬,闻道君.非凸变分不等式和Wiener-Hopf方程的逼近方法[J].西南师范大学学报(自然科学版),2012,37(2):34-37. |
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| 作者姓名： | 龚黔芬 闻道君 |
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| 作者单位： | 重庆工商大学计算机与信息工程学院;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(11001287);重庆市自然科学基金(CSTC 2010BB9254);重庆市教委科技研究项目(KJ 110701) |
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| 摘 要： | 介绍了一类新的包含非扩张映象的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,进一步给出了求解非扩张映象不动点和Wiener-Hopf方程的逼近方法,并在一定条件下证明了由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 近似正规锥 松弛(γ r)-余强制 不动点 |
Approximate Methods of Wiener-Hopf Equations and Nonconvex Variational Inequalities |
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| GONG Qian-fen,WEN Dao-jun.Approximate Methods of Wiener-Hopf Equations and Nonconvex Variational Inequalities[J].Journal of Southwest China Normal University(Natural Science),2012,37(2):34-37. |
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| Authors: | GONG Qian-fen WEN Dao-jun |
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| Institution: | 1.College of Computer Science and Information Engineering,Chongqing Technology and Business University,Chongqing 400067,China;2.College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China |
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| Abstract: | In this paper,a new class of nonlinear Wiener-Hopf equations with nonexpansive mappings is introduced.The equivalence between Wiener-Hopf equation and nonconvex variational inequality is established to analyze an iterative scheme for finding a common element of the set of fixed points of nonexpansive mappings and the set of solutions of the Wiener-Hopf equations.The convergence analysis of the approximation methods is also cosidered under some suitable conditions. |
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| Keywords: | nonconvex variational inequality Wiener-Hopf equation proximal normal cone relaxed(γ r)-cocoercive fixed point |
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