Hierarchical Fixed Point Problems in Uniformly Smooth Banach Spaces

Abstract EN

We propose some relaxed implicit and explicit viscosity approximation methods for hierarchical fixed point problems for a countable family of nonexpansive mappings in uniformly smooth Banach spaces.

These relaxed viscosity approximation methods are based on the well-known viscosity approximation method and hybrid steepest-descent method.

We obtain some strong convergence theorems under mild conditions.