NEW CONVERGENCE THEOREMS FOR SPLIT COMMON FIXED POINT PROBLEMS IN HILBERT SPACES

被引:0
作者
Shehu, Yekini [1 ]
机构
[1] Univ Nigeria, Dept Math, Nsukka, Nigeria
关键词
Demicontractive mappings; split common fixed-point problems; strong convergence; Hilbert spaces; CQ ALGORITHM; MAPPINGS; PROJECTION; ITERATION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with strong convergence theorems for solving the split common fixed-point problems for the class of demicontractive mappings in real Hilbert spaces. Furthermore, we apply our results to solving split variational inequality problems, split convex minimization problems and split common zeros problems in real Hilbert spaces.
引用
收藏
页码:167 / 181
页数:15
相关论文
共 29 条
[1]   A weak-to-strong convergence principle for Fejer-monotone methods in Hilbert spaces [J].
Bauschke, HH ;
Combettes, PL .
MATHEMATICS OF OPERATIONS RESEARCH, 2001, 26 (02) :248-264
[2]   Construction of common fixed points of a countable family of λ-demicontractive mappings in arbitrary Banach spaces [J].
Boonchari, Daruni ;
Saejung, Satit .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (01) :173-178
[4]   A unified treatment of some iterative algorithms in signal processing and image reconstruction [J].
Byrne, C .
INVERSE PROBLEMS, 2004, 20 (01) :103-120
[5]  
Censor Y., 1994, Numerical Algorithms, V8, P221, DOI DOI 10.1007/BF02142692
[6]   Algorithms for the Split Variational Inequality Problem [J].
Censor, Yair ;
Gibali, Aviv ;
Reich, Simeon .
NUMERICAL ALGORITHMS, 2012, 59 (02) :301-323
[7]  
Censor Y, 2009, J CONVEX ANAL, V16, P587
[8]   Split feasibility problem for quasi-nonexpansive multi-valued mappings and total asymptotically strict pseudo-contractive mapping [J].
Chang, S. S. ;
Lee, H. W. Joseph ;
Chan, C. K. ;
Wang, L. ;
Qin, L. J. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (20) :10416-10424
[9]   Iterative methods for the computation of fixed points of demicontractive mappings [J].
Chidume, Charles E. ;
Maruster, Stefan .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (03) :861-882
[10]   Damped projection method for split common fixed point problems [J].
Cui, Huanhuan ;
Su, Menglong ;
Wang, Fenghui .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,