New Iterative Scheme for Finite Families of Equilibrium, Variational Inequality, and Fixed Point Problems in Banach Spaces

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作者
Shenghua Wang
Caili Zhou
机构
[1] North China Electric Power University,School of Applied Mathematics and Physics
[2] Gyeongsang National University,Department of Mathematics
[3] Hebei University,College of Mathematics and Computer
关键词
Hilbert Space; Banach Space; Convex Subset; Equilibrium Problem; Nonexpansive Mapping;
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摘要
We introduced a new iterative scheme for finding a common element in the set of common fixed points of a finite family of quasi-ϕ-nonexpansive mappings, the set of common solutions of a finite family of equilibrium problems, and the set of common solutions of a finite family of variational inequality problems in Banach spaces. The proof method for the main result is simplified under some new assumptions on the bifunctions.
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