摘要
指出了P.Katchang等人的论文[Strong convergence theorems for solving generalized mixed equilibrium problems and general system of variational inequalities by the hybrid method,Nonlinear Analysis:Hybrid Systems,2010,4:838-852]在主要收敛性定理的证明过程中使用了两个不正确的不等式,因而导致证明过程不严谨。本文给出了该定理的一个正确证明。
In this short note we point to two errors in the proof of a theorem stated in [Phayap Katchang, Thanyarat Jitpeera, Poom Kumama, Strong convergence theorems for solving generalized mixed equilibrium problems and general system of variational inequalities by the hybrid method, Nonlinear Analysis: Hybrid Systems, 2010,4:838-852] and give a correct proof.
出处
《井冈山大学学报(自然科学版)》
2014年第5期22-24,共3页
Journal of Jinggangshan University (Natural Science)
基金
国家自然科学基金项目(11071041
11201074)
福建省自然科学基金项目(2013J01006)
关键词
强收敛性定理
混合方法
广义混合均衡问题
一般变分不等式组
strong convergence theorems
hybrid method
generalized mixed equilibrium problems
general system of variational inequalities