Hybrid viscosity approach for hierarchical fixed-point problems
Saleh Abdullah Al-Mezel, Qamrul Hasan Ansari, Lu-Chuan Ceng · Applicable Analysis · 2013
In this paper, we propose hybrid implicit and explicit viscosity iterative algorithms for solving general hierarchical fixed-point problems for a countable family of non-expansive mappings in uniformly smooth Banach spaces. These hybrid viscosity algorithms are based on the well-known viscosity approximation method and hybrid steepest-descent method. We obtain some strong convergence theorems under suitable conditions. Our results extend, improve, supplement and develop the recent results in the literature.