TY - JOUR A2 - Minghua, Xu AU - Xu, Haiwen PY - 2013 DA - 2013/10/23 TI - The Strong Convergence of Prediction-Correction and Relaxed Hybrid Steepest-Descent Method for Variational Inequalities SP - 515902 VL - 2013 AB - We establish the strong convergence of prediction-correction and relaxed hybrid steepest-descent method (PRH method) for variational inequalities under some suitable conditions that simplify the proof. And it is to be noted that the proof is different from the previous results and alsois not similar to the previous results. More importantly, we design a set of practical numerical experiments. The results demonstrate that the PRH method under some descent directions is more slightly efficient than that of the modified and relaxed hybrid steepest-descent method, and the PRH Method under some new conditions is more efficient than that under some old conditions. SN - 1085-3375 UR - https://doi.org/10.1155/2013/515902 DO - 10.1155/2013/515902 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -