A class of projection and contraction methods for asymmetric linear variational inequalities and their relations to Fukushima's descent method

✍ Scribed by Yingchuan Cui; Bingsheng He

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 633 KB
• Volume: 38
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(99)00294-1

✦ Synopsis

For solving asymmetric linear variational inequalities, we present a class of projection and contraction methods under the general G-norm. The search direction of our methods is just a convex combination of two descent directions of Fukushima's merit function. However, we use the direction to reduce the distance function (1/2)llu -u*ll~, where u* is a solution point of the problem. Finally, we report some numerical results for spatial price equilibrium problems by using the presented methods.