Strong convergence for solving a general system of variational inequalities and fixed point problems in Banach spaces

被引:0
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作者
Lu-Chuan Ceng
Nawab Hussain
Abdul Latif
Jen-Chih Yao
机构
[1] Shanghai Normal University,Department of Mathematics, and Scientific Computing Key Laboratory of Shanghai Universities
[2] King Abdulaziz University,Department of Mathematics
[3] Kaohsiung Medical University,Center for Fundamental Science
关键词
general system of variational inequalities; hybrid viscosity approximation method; nonexpansive mapping; sunny nonexpansive retraction; fixed point; uniformly Gâteaux differentiable norm; uniform convexity;
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摘要
In this paper, we propose and analyze some iterative algorithms by hybrid viscosity approximation methods for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a uniformly convex Banach space which has a uniformly Gâteaux differentiable norm, and we prove some strong convergence theorems under appropriate conditions. The results presented in this paper improve, extend, supplement and develop the corresponding results recently obtained in the literature.
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