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

被引：12
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
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2017年
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.
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页数：14
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