TY - JOUR
T1 - A Goldstein's Type Projection Method for a Class of Variant Variational Inequalities
AU - He , Bing-Sheng
JO - Journal of Computational Mathematics
VL - 4
SP - 425
EP - 434
PY - 1999
DA - 1999/08
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9113.html
KW - Variational inequality, Goldstein Projection method.
AB - <p style="text-align: justify;">Some optimization problems in mathematical programming can be translated to a variant variational inequality of the following form: Find a vector $\u^*$,such that $$Q(u^*)∈Ω,(v-Q(u^*))^Tu^* ≥ 0, ∀_v∈Ω.$$. This paper presents a simple iterative method for solving this class of variational inequalities. The method can be viewed as an extension of the Goldstein&#39;s projection method. Some results of preliminary numerical experiments are given to indicate its applications.</p>