The conjugate gradient method for split variational inclusion and constrained convex minimization problems

作者：

Highlights：

• A new viscosity method of split variational inclusion problem is proposed.

• The method is based on conjugate gradient method and averaged mapping approach.

• The strong convergence of the sequences generated by the method is proved.

• The results are the generalization of the previously known results in this area.

摘要

•A new viscosity method of split variational inclusion problem is proposed.•The method is based on conjugate gradient method and averaged mapping approach.•The strong convergence of the sequences generated by the method is proved.•The results are the generalization of the previously known results in this area.

论文关键词：Split variational inclusion problem,Fixed point problem,Convex minimization problem,Viscosity approximation method,Conjugate gradient method

论文评审过程：Received 8 June 2015, Revised 16 March 2016, Accepted 1 June 2016, Available online 20 July 2016, Version of Record 20 July 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.06.007