An improved Goldstein's type method for a class of variant variational inequalities

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:214

Article

Li, Min¹  Yuan, Xiao-Ming² 

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Shanghai Jiao Tong Univ, Antai Coll Econ & Management, Dept Management Sci, Shanghai 200052, Peoples R China

关键词: descent method;    Goldstein's type methods;    variant variational inequalities;   

DOI  :  10.1016/j.cam.2007.02.032

来源: Elsevier

【 摘 要 】

This paper aims at presenting an improved Goldstein's type method for a class of variant variational inequalities. In particular, the iterate computed by an existing Goldstein's type method [He, A Goldstein's type projection method for a class of variant variational inequalities J. Comput. Math. 17(4) (1999) 425-434]. is used to construct a descent direction, and thus the new method generates the new iterate by searching the optimal step size along the descent direction. Some restrictions on the involving functions of the existing Goldstein's type methods are relaxed, while the global convergence of the new method is proved without additional assumptions. The computational superiority of the new method is verified by the comparison to some existing methods. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free