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Volume 1, Issue 2, 1 August 2017, Pages 213-235
Abstract. In this paper, we introduce and analyze hybrid viscosity approximation methods for solving a hierarchical variational inequality over the common fixed points set of a countable family of nonexpansive mappings, and for finding zero points of m-accretive operators in a real reflexive Banach space. Under suitable assumptions, we establish several strong convergence theorems for the proposed iterative algorithms. The results presented in this paper improve and extend the corresponding results in the literature.
How to Cite this Article:
Lu-Chuan Ceng, Ching-Fen Wen, Yonghong Yao, Iteration approaches to hierarchical variational inequalities for infinite nonexpansive mappings and finding zero points of m-accretive operators, J. Nonlinear Var. Anal. 1 (2017), 213-235.