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Approximating zeros of monotone operators by proximal point algorithms
Authors:Xiaolong Qin  Shin Min Kang  Yeol Je Cho
Institution:1.Department of Mathematics and the RINS,Gyeongsang National University,Chinju,Korea;2.Department of Mathematics Education and the RINS,Gyeongsang National University,Chinju,Korea
Abstract:In this paper, we introduce two kinds of iterative algorithms for the problem of finding zeros of maximal monotone operators. Weak and strong convergence theorems are established in a real Hilbert space. As applications, we consider a problem of finding a minimizer of a convex function.
Keywords:
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