摘要
应用辅助变分不等式技巧,提出了解完全广义混合隐拟似变分包含问题的预测-矫正迭代算法.通过引入单值映射的g-偏松弛倒η-强单调性和集值映射的关于h的g-偏松弛强η单调性的概念,证明了由这个算法所产生的迭代序列的收敛性.
predictor-corrector iterative algorithm is suggested for solving completely generalized mixed implicit quasi-variational-like inclusions by applying the auxiliary variational inequality technique. By introducing two concepts of g-partially relaxed reversal η-strongly monotonicity of single-valued mappings and g-partially relaxed strongly η monotonicity with respect to h of set-valued mappings, we prove the convergence of the iterative sequence generated by suggested iterative algorithm.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第2期22-26,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金资助项目(10471113)
重庆市科委自然科学基金资助项目(CSTC
2005BB2097)
关键词
完全广义混合隐拟似变分包含问题
预测-矫正迭代算法
g-偏松弛倒η-强单调性
completely generalized mixed implicit quasi-variational-like inclusions
predictor-corrector iterative algorithm
g-partially relaxed reversal η-strongly monotone
