GENERALIZED PROJECTION ALGORITHM TO APPROXIMATING THE SOLUTIONS OF ONE KIND OF VARIATIONAL INEQUALITIES

摘要：

Finding suitable algorithms to approximate the solution of variational inequalities is a very active topic in different branches of mathematical fields since it plays a significant role in economics, finance, transportation, elasticity, optimization, operations research and structural analysis, etc.Considerable research efforts have been devoted to the study of iterative schemes of approximating the solution of variational inequalities in recent years.By now, there already exist some algorithms, but they are not quite enough to deal with problems related to more general operators defined in a more general space.In this paper, a new generalized projection algorithm is introduced which is proved to be strongly convergent to the solution of one kind of variational inequalities in Banach space by using some techniques of Lyapunov functional and generalized projection operator, etc.

关键词： Generalized projection iterative algorithm Generalized projection operator Variational inequalities

作者: WEI LI LI-LING DUAN

作者单位: School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China

会议类型: 国际会议

会议名称: 2007 International Conference on Machine Learning and Cybernetics(IEEE第六届机器学习与控制论国际会议)

会议地点: 香港

会议语种:英文

页码: 2537-2540

在线出版日期: 2007-08-19（万方平台首次上网日期，不代表论文的发表时间）