序Banach空间中带⊕算子的广义混合序变分不等式组  

Generalized Hybrid Order Variational Inequality Systems with ⊕ Operators in Ordered Banach Spaces

作　　者：李红刚[1] 谭茂周[2] 邱敏[2] 

机构地区：[1]重庆邮电大学应用数学研究所，重庆 400065 [2]重庆邮电大学数理学院，重庆 400065

出　　处：《西南师范大学学报（自然科学版）》2014年第4期19-22,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：在序Banach空间中,引入和研究了带算子的广义混合序变分不等式组.应用序Banach空间理论和矩阵分析方法,给出了其不等式组解的存在性定理,并基于序B-限制增生映象,给出了求解不等式组的迭代算法,迭代序列的收敛性和逼近解.The main purpose of this paper is to introduce and study a new class of generalized hybrid order variational inequality systems with ⊕ operators in ordered Banach spaces.Applying the ordered Banach space theory and the matrix analysis method,an existence theorem of solutions for this kind of system is established and,based on the order B-restricted-accretive mappings,a general algorithm is introduced and applied to the approximation solutions of the systems on hand.

关 键 词：广义混合序变分不等式组 ⊕算子 序Lipschitz连续映象 逼近解 

分 类 号：O177.91[理学—数学]