1. Hybrid viscosity approach for hierarchical fixed-point problems.
- Author
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Al-Mezel, Saleh Abdullah, Ansari, Qamrul Hasan, and Ceng, Lu-Chuan
- Subjects
- *
FIXED point theory , *VISCOSITY , *ITERATIVE methods (Mathematics) , *ALGORITHMS , *PROBLEM solving - Abstract
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. [ABSTRACT FROM PUBLISHER]
- Published
- 2015
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