强伪单调均衡问题近似点方法的收敛性  

Convergence Analysis of Proximal Point Algorithm for a Strongly Pseudomonotone Equilibrium Problem

作　　者：龚黔芬[1] 安军[2] GONG Qian-fen;AN Jun(College of Computer Science and Information Engineering,Chongqing Technology and Business University,Chongqing 400067,China;College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China)

机构地区：[1]重庆工商大学计算机与信息工程学院,重庆400067 [2]重庆工商大学数学与统计学院,重庆400067

出　　处：《西南大学学报（自然科学版）》2020年第9期101-105,共5页Journal of Southwest University(Natural Science Edition)

基　　金：重庆市基础研究与前沿探索研究项目(cstc2020jcyj-msxmX0316);重庆市教委科技研究项目(KJ130705,KJ1500634).

摘　　要：利用惯性技巧改进了关于强伪单调均衡问题的近似点方法,加快了迭代的收敛速度,提高了数值方法的稳定性,并在一定条件下建立了关于强伪单调均衡问题唯一解的强收敛定理.In this paper,the proximal point algorithm is improved by using the inertial technique for solving a strongly pseudomonotone equilibrium problem.The convergence speed of the modified iteration is accelerated and the stability of numerical method is improved.Moreover,the strong convergence theorems about the unique solution of the strongly pseudomonotone equilibrium problem are established under some suitable conditions defined on the iterative parameters.

关 键 词：均衡问题 近似点方法 惯性技巧 强伪单调算子 Lipschtiz-型二元函数 

分 类 号：O177.91[理学—数学]