New viscosity method for hierarchical fixed point approach to variational inequalities

作者：Deng Wei Qi^*

来源：Fixed Point Theory and Applications, 2013, 2013(1): 219.

DOI：10.1186/1687-1812-2013-219

• hierarchical fixed point
• variational inequality
• nonexpansive mappings
• viscosity approximation

A new viscosity method for hierarchically approximating some common fixed point of an infinite family of nonexpansive mappings is presented; and some strong convergence theorems for solving variational inequality problems and hierarchical fixed point problems are obtained without the aid of the convex linear combination of a countable family of nonexpansive mappings. Solutions are sought in the set of fixed points of another nonexpansive mapping. The results improve those of the authors with the related interest.

• 出版日期2013
• 单位云南大学