Abstract
AbstractLet X be a uniformly convex and q-uniformly smooth Banach space with $1< q\leq 2$1<q≤2. In the framework of this space, we are concerned with a composite gradient-like implicit rule for solving a hierarchical monotone variational inequality with the constraints of a system of monotone variational inequalities, a variational inclusion and a common fixed point problem of a countable family of nonlinear operators $\{S_{n}\}^{\infty }_{n=0}${Sn}n=0∞. Our rule is based on the Korpelevich extragradient method, the perturbation mapping, and the W-mappings constructed by $\{S_{n}\}^{\infty }_{n=0}${Sn}n=0∞.
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Cited by
14 articles.
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