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

作者：Khuangsatung Wongvisarut; Kangtunyakarn Atid^*

来源：Fixed Point Theory and Applications, 2014, 2014(1): 209.

DOI：10.1186/1687-1812-2014-209

• variational inclusion problems
• kappa-strictly pseudononspreading mapping
• equilibrium problem
• resolvent operator
• fixed point problem

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 kappa-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 kappa-quasi-strictly pseudo-contractive mapping in Hilbert space. We give a numerical example to support some of our results.

• 出版日期2014-10-13