Algorithm of a new variational inclusion problem and strictly pseudononspreading mapping with application

Fixexd point theory and applications

Wongvisarut Khuangsatung¹  Atid Kangtunyakarn² 

[1] Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

关键词: variational inclusion problems;    κ-strictly pseudononspreading mapping;    equilibrium problem;    resolvent operator;    fixed point problem;   

DOI  :  10.1186/1687-1812-2014-209

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this research is to modify the variational inclusion problems and prove a strong convergence theorem for finding a common element of the set of fixed points of a κ-strictly pseudononspreading mapping and the set of solutions of a finite family of variational inclusion problems and the set of solutions of a finite family of equilibrium problems in Hilbert space. By using our main result, we prove a strong convergence theorem involving a κ-quasi-strictly pseudo-contractive mapping in Hilbert space. We give a numerical example to support some of our results.

【 授权许可】

CC BY