关于变分包含问题和不动点问题的一些结果及应用  

Some Results on Variational Inclusion Problems and Fixed Point Problems With Applications

作　　者：郝彦[1,2] 

机构地区：[1]浙江海洋学院数理与信息学院,浙江舟山316004 [2]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《应用数学和力学》2009年第12期1493-1500,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10901140)

摘　　要：基于一个广义迭代算法,考虑了逼近一类拟变分包含问题解集与一族无限多个非扩张映象公共不动点集的某一公共元问题.在实Hilbert空间的框架下,证明了由次广义迭代算法产生的迭代序列强收敛到某一公共元.Based on a general iterative algorithm, the problem of appmximating a common element in the solution set of quasi-variational inclusion problems and in the common fixed point set of an infinite family of nonexpansive mappings was considered. It is proved that the iterative sequences generated in the purposed iterative algorithm converges strongly to some common element in the framework of real Hilbert spaces.

关 键 词：变分不等式 不动点 非扩张映象 拟变分包含问题 

分 类 号：O177.5[理学—数学]