Iterative Schemes for Generalized Equilibrium Problem and Two Maximal Monotone Operators

被引:0
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作者
L. C. Zeng
Y. C. Lin
J. C. Yao
机构
[1] Shanghai Normal University,Department of Mathematics
[2] Science Computing Key Laboratory of Shanghai Universities,Department of Occupational Safety and Health
[3] China Medical University,Department of Applied Mathematics
[4] National Sun Yat-sen University,undefined
关键词
Hilbert Space; Banach Space; Variational Inequality; Nonexpansive Mapping; Lower Semicontinuous;
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中图分类号
学科分类号
摘要
The purpose of this paper is to introduce and study two new hybrid proximal-point algorithms for finding a common element of the set of solutions to a generalized equilibrium problem and the sets of zeros of two maximal monotone operators in a uniformly smooth and uniformly convex Banach space. We established strong and weak convergence theorems for these two modified hybrid proximal-point algorithms, respectively.
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