On solving split mixed equilibrium problems and fixed point problems of hybrid-type multivalued mappings in Hilbert spaces

被引:13
作者
Onjai-uea, Nawitcha [1 ]
Phuengrattana, Withun [1 ,2 ]
机构
[1] Nakhon Pathom Rajabhat Univ, Fac Sci & Technol, Dept Math, Nakhon Pathom 73000, Thailand
[2] Nakhon Pathom Rajabhat Univ, Res & Dev Inst, Res Ctr Pure & Appl Math, Nakhon Pathom 73000, Thailand
关键词
split mixed equilibrium problems; hybrid multivalued mappings; weak convergence; Hilbert spaces; CONVERGENCE THEOREMS; WEAK-CONVERGENCE;
D O I
10.1186/s13660-017-1416-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we introduce and study iterative algorithms for solving split mixed equilibrium problems and fixed point problems of lambda-hybrid multivalued mappings in real Hilbert spaces and prove that the proposed iterative algorithm converges weakly to a common solution of the considered problems. We also provide an example to illustrate the convergence behavior of the proposed iteration process.
引用
收藏
页数:14
相关论文
共 21 条
[1]  
[Anonymous], IMAGE PROCESSING ANA
[2]  
Blum E., 1994, Math. student, V63, P123
[5]   A hybrid iterative scheme for mixed equilibrium problems and fixed point problems [J].
Ceng, Lu-Chuan ;
Yao, Jen-Chih .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 214 (01) :186-201
[6]   The multiple-sets split feasibility problem and its applications for inverse problems [J].
Censor, Y ;
Elfving, T ;
Kopf, N ;
Bortfeld, T .
INVERSE PROBLEMS, 2005, 21 (06) :2071-2084
[7]  
Censor Y., 1994, NUMER ALGORITHMS, V8, P221, DOI DOI 10.1007/BF02142692
[8]   A unified approach for inversion problems in intensity-modulated radiation therapy [J].
Censor, Yair ;
Bortfeld, Thomas ;
Martin, Benjamin ;
Trofimov, Alexei .
PHYSICS IN MEDICINE AND BIOLOGY, 2006, 51 (10) :2353-2365
[9]   Perturbed projections and subgradient projections for the multiple-sets split feasibility problem [J].
Censor, Yair ;
Motova, Avi ;
Segal, Alexander .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) :1244-1256
[10]  
Combettes PL, 2005, J NONLINEAR CONVEX A, V6, P117