广义非凸变分不等式解的存在性和多步迭代投影算法

令狐云龙

doi:10.13718/j.cnki.xsxb.2015.06.003

西南师范大学学报(自然科学版)

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广义非凸变分不等式解的存在性和多步迭代投影算法

令狐云龙. 广义非凸变分不等式解的存在性和多步迭代投影算法[J]. 西南师范大学学报(自然科学版), 2015, 40(6). doi: 10.13718/j.cnki.xsxb.2015.06.003

引用本文:

令狐云龙. 广义非凸变分不等式解的存在性和多步迭代投影算法[J]. 西南师范大学学报(自然科学版), 2015, 40(6). doi: 10.13718/j.cnki.xsxb.2015.06.003

LINGHU Yun-long. On Existence of Solution and Multi-Step Iterative Projection Algorithm for Generalized Nonconvex Variational Inequalities[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(6). doi: 10.13718/j.cnki.xsxb.2015.06.003

Citation:

LINGHU Yun-long. On Existence of Solution and Multi-Step Iterative Projection Algorithm for Generalized Nonconvex Variational Inequalities[J]. Journal of Southwest China Normal University(Natural Science Edition), 2015, 40(6). doi: 10.13718/j.cnki.xsxb.2015.06.003

广义非凸变分不等式解的存在性和多步迭代投影算法

令狐云龙

重庆广播电视大学经贸学院财经系,重庆,402160

On Existence of Solution and Multi-Step Iterative Projection Algorithm for Generalized Nonconvex Variational Inequalities

LINGHU Yun-long

摘要: 在Hilbert空间中引入广义非凸变分不等式问题，利用变分不等式和不动点问题的等价关系，给出了求解变分不等式的多步迭代投影算法。在适当的条件下证明了该算法的收敛性。
- 广义非凸变分不等式 /
- 松弛(γ,r)余强制映象 /
- 投影算法
Abstract: A generalized nonconvex variational inequality problem has been introduced in a real Hilbert space with the equivalence relation of variational inequalities and fixed point problems .A multi‐step itera‐tive projection algorithm has been given for solving this variational inequalities .T he convergence of the al‐gorithm has been proved under mild conditions ,the results in this paper can be viewed as an improvement and extension of the previously know n results for general variational inequalities .
- generalized nonconvex variational inequality，relaxed (γ,r)-cocoercive mappings，projection methods /