期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
The Iterative Scheme with Errors for Common Zero Point of a Family of Finite Maximal Monotone Operators in Hilbert Space
摘要/Abstract
摘要：
令H为Hilbert空间,Ai:D(Ai)=H→2H为极大单调算子,i=1,2,…,N.受Rockafellar和Mann对迭代格式研究方法的启发,引进了2种带误差项的迭代格式,证明了迭代序列强收敛于有限个极大单调算子的公共零点的充要条件.
Abstract：
Let H be a Hilbert space, Ai:D(Ai)=H→2H be maximal monotone operators, i =1, 2, …, N. Motivated by the iterative methods studied by Rockafellar and Mann, two sufficient and necessary conditions that two new iterative schemes with errors which are strongly convergent to the common zero point for a family of finite maximal monotone operators are given.
关键词
Key words：
maximal monotone operator
;
iteration scheme
;
zero point
参考文献 3
- [1] ROCKAFELLAR R T.Monotone Operators and the Proximal Point Algorithm [J].SIAM J Control Optim, 1974,(14):877- 898.
- [2] MANN M R.Mean Value Methods in I teration [J].Proc Amer Math Soc, 1953,(4):506-510.
- [3] OSILIKE M O, ANIAGBOSOR S C, AKUCHU B G.Fixed Points of Asymptotically Demicontractive Mappings in Arbitrary Banach Spaces [J].Pan American Mathematical Journal, 2002, 12(2):77-88.