摘要
混合变分不等式是变分不等式的一种推广,在经济、工程、物理、力学和电子信息等领域均有广泛的应用.基于混合变分不等式问题,提出了隐混合变分不等式问题,并且研究了求解该问题的黄金比算法.在一定的假设条件下证明了算法产生的序列能够收敛到该问题的解.
Mixed variational inequality is a generalization of variational inequality,which finds wide application in the fields of economy,engineering,physics,mechanics,electronic information and so on.Based on the mixed variational inequality problem,the implicit mixed variational inequality problem is proposed,and the golden ratio algorithm for solving the problem is studied.Under certain assumptions,it is proved that the sequence generated by the golden ratio algorithm converges to the solution of the problem.
作者
唐梓涵
邓欢
孙怡
赵世莲
TANG Zihan;DENG Huan;SUN Yi;ZHAO Shilian(School of Mathematics and Information,China West Normal University,Nanchong,Sichuan 637009,China)
出处
《内江师范学院学报》
CAS
2022年第8期28-32,共5页
Journal of Neijiang Normal University
基金
国家自然科学基金项目(11871059)
四川省高校科研创新团队项目(16TD0019)
西华师范大学英才科研基金项目(17YC379)。
关键词
隐混合变分不等式
临近点算法
黄金比算法
临近凸函数
利普希茨连续
implicit mixed variational inequality
proximal point algorithm
golden ratio algorithm
proximal convex function
Lipschitz continuity