Hierarchical Fixed Point Problems in Uniformly Smooth Banach Spaces
Lu-Chuan Ceng, Ching‐Feng Wen, Chin-Tzong Pang · Abstract and Applied Analysis · 2014
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.