MIXED ITERATIVE SCHEME FOR EQUILIBRIUM PROBLEMS,VARIATIONAL INEQUALITIES, ZERO POINT PROBLEMS AND FIXED POINT PROBLEMS IN 2-UNIFORMLY CONVEX BANACH SPACES

摘要：

　　In this paper,we introduce a mixed iterative scheme for approximating the common element of the set of solutions of an equilibrium problem,the set of solutions of variational inequalities for α-inversely strongly monotone operator,the set of zero points of a maximal monotone operator and the set of fixed points of a relatively nonexpansive mapping in a real uniformly smooth and 2-uniformly convex Banach space.Some weak convergence theorems are obtained,to extend the previous work.Moreover,the newly obtained theorems are applied to the convex minimization problems.

关键词： Relatively nonexpansive mapping α-inversely strongly monotone operator Equilibrium problem Variational inequality Weak convergence

作者: LI-LING DUAN SHU-XIN FAN WEI LI

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: 2011 International Conference on Wavelet Analysis and Pattern Recognition(2011小波分析与模式识别国际会议)

会议地点: 桂林

会议语种:英文

页码: 282-288

在线出版日期: 2011-07-10（万方平台首次上网日期，不代表论文的发表时间）