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The system of variational inequalities with hierarchical fixed point problem constraint
ZENG Liu-Chuan
Department of Mathematics, Shanghai Normal University, Shanghai 200234
*Correspondence author
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Funding: *** Program for OutstandingAcademic Leaders in Shanghai City （No.15XD1503100）, *** Ph.D. Program Foundation of Ministry of Education of China （No.20123127110002）, *** Innovation Program of Shanghai Municipal Education Commission （No.15ZZ068）
Opened online:27 June 2016
Accepted by: none
Citation: ZENG Liu-Chuan.The system of variational inequalities with hierarchical fixed point problem constraint[OL]. [27 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4698655
 
 
In this paper, we introduce a general composite implicit schemefor finding a common solution of a system of variational inequalities (SVI) anda generalized mixed equilibrium problem with the constraint of the hierarchicalfixed point problem (HFPP) for a strictly pseudocontractive mapping in a realHilbert space. The strong convergence theorem for such an implicit scheme isestablished under some suitable assumptions. The result is the extension andimprovement of some corresponding ones in the literature.
Keywords:System of variational inequalities; Hierarchical fixed pointproblem; Generalized mixed equilibrium problem; General composite implicit scheme; Common solution.
 
 
 

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