井冈山大学学报（自然科学版）
井岡山大學學報（自然科學版）
정강산대학학보（자연과학판）
JOURNAL OF JINGGANGSHAN UNIVERSITY(SCIENCE AND TECHNOLOGY)
2014年
5期
22-24
,共3页
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
彊收斂性定理%混閤方法%廣義混閤均衡問題%一般變分不等式組
강수렴성정리%혼합방법%엄의혼합균형문제%일반변분불등식조
strong convergence theorems%hybrid method%generalized mixed equilibrium problems%general system of variational inequalities
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。
指齣瞭 P. Katchang 等人的論文[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]在主要收斂性定理的證明過程中使用瞭兩箇不正確的不等式，因而導緻證明過程不嚴謹。本文給齣瞭該定理的一箇正確證明。
지출료 P. Katchang 등인적논문[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]재주요수렴성정리적증명과정중사용료량개불정학적불등식，인이도치증명과정불엄근。본문급출료해정리적일개정학증명。
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.
