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
General Split Variational Inclusion Problem in Hilbert Spaces
摘要/Abstract
摘要：
考虑Hilbert 空间的一般分裂变分包含问题并给出了强收敛理论,它是Chih-sheng Chuang 型迭代法的推广.
Abstract：
In this paper,we introduce a general split variational inclusion problem and give strong convergence theorems in Hilbert spaces,like the Chih-sheng Chuang type iteration method and the regularized iteration method.
关键词
Key words：
zero point
;
split variational inclusion problem
;
strong convergence
参考文献 12
- [1] CENSOR Y,ELFVING T.A Multiprojection Algorithm Using Bregman Projection in a Product Space[J].Numer Algorithms,1994,8:221-239.
- [2] BYRNE C.Iterative Oblique Projection onto Convex Sets and the Split Feasibility Problem[J].Inverse Problems,2002,18:441-453.
- [3] CENSOR Y,BORTFELD T,MARTIN B,et al.A Unified Approach for Inversion Problems in Intensity Modulated Radiation Therapy[J].Phys Med Biol,2003,51:2353-2365.
- [4] LOPEZ G,MARTIN M V,XU H K.Iterative Algorithms for the Multiple Sets Split Feasibility Problem In Censor[M]//JIANG Y,WANG M.Biomedical Mathematics:Promising Directions in Imaging,Therapy Planning and Inverse Problems,Madison:Medcal Physics Publishing,2010:243-279.
- [5] STARK H.Image Recovery:Theory and Applications[M].San Diego:Academic Press,1987.
- [6] CHUANG Chihsheng.Strong Convergence Theorems for the Split Variational Inclusion Problem(SVIP) in Hilbert Spaces[J].Fixed Point Theory Appl,2013:350.
- [7] HE Z,DU W S.Nonlinear Algorithms Approach to Split Common Solution Problems[J].Fixed Point Theory Appl,2012:130.
- [8] XU H K.Iterative Algorithm for Nonlinear Operators[J].J Lond Math Soc,2002(2):240-256.
- [9] BROWDER F E.Fixed Point Theorems for Noncompact Mappings in Hilbert Spaces[J].Proc Natl Acad Sci,1965,53:1272-1276.
- [10] TAKAHASHI W.Introduction to Nonlinear and Convex Analysis[M].Yokohama:Yokohama Publishers,2009.
- [11] OSILIKE M O,IGBOKWE D I.Weak and Strong Convergence Theorems for Fixed Points of Pseudocontractions and Solutions of Monotone Type Operator Equations[J].Comput Math Appl,2000,40:559-567.
- [12] TAKAHASHI W.Nonlinear Functional Analysis-fixed Point Theory and Its Application[M].Yokohama:Yokohama Publishers,2000.