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.

引用

页数：14

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