有限簇伪压缩映象和单调映象广义迭代法的强收敛性  

Strong Convergence of an General Iterative Method for a Finite Family of Pseudo-Contractive and Monotone Mappings

作　　者：闻道君[1] 

机构地区：[1]重庆工商大学数学与统计学院,重庆400067

出　　处：《数学物理学报（A辑）》2014年第5期1123-1132,共10页Acta Mathematica Scientia

基　　金：国家自然科学基金(11001287;11271388);重庆市自然科学基金(CSTC2012jjA00039);重庆市教委科技研究项目(KJ130712)资助

摘　　要：在Hilbert空间中,建立了一个关于有限簇伪压缩映象和单调映象的广义迭代方法,并在更弱的条件下证明了该方法所产生的序列强收敛到连续伪压缩映象不动点集和变分不等式解集的某个公共元.In Hilbert space, a general approximation method is proposed for finding a common element of the set of fixed points of a finite family of continuous pseudo-contractive mappings and solutions of variational inequalities for monotone mappings. Strong convergence of iterative sequences generated by the method are obtained under some more ~enera｜ condlt^nn~

关 键 词：伪压缩映象 单调映象 不动点 强正算子 变分不等式 

分 类 号：O177.91[理学—数学]