广义均衡问题和严格伪压缩映像的收敛性定理及应用(英文)  

Convergence Theorems on Generalized Equilibrium Problems for Strict Pseudo-contractions With Applications

作　　者：段培超[1] 何松年[1] 

机构地区：[1]中国民航大学理学院,天津300300

出　　处：《数学进展》2012年第5期583-596,共14页Advances in Mathematics（China）

基　　金：Fundamental Research Funds for the Central Universities(No.ZXH2012K001)

摘　　要：本文运用平行算法,提出一种寻求广义均衡问题和严格伪压缩映像不动点集的公共元的迭代算法,并在Hilbert空间框架下证明了算法的强收敛性.进一步,将定理结果应用到凸可行性问题中.In this paper, we introduce an iterative algorithm for finding a common element of the set of fixed points of strict pseudo-contractions and the set of solutions of generalized equilibrium problems with the parallel algorithm. Strong convergence theorems are established in the frame of Hilbert spaces. Furthermore, the result is applied to the convex feasibility problem.

关 键 词：严格伪压缩 均衡问题 变分不等式 平行算法 不动点 

分 类 号：O177.91[理学—数学]