Weak and Strong Convergence of Algorithms for the Split Common Null Point Problem

作者： Yair Censor , Aviv Gibali , Charles Byrne , Simeon Reich

DOI:

关键词: Weak convergence 、 Discrete mathematics 、 Linear map 、 Zero (complex analysis) 、 Monotone polygon 、 Hilbert space 、 Mathematics 、 Algorithm 、 Strongly monotone 、 Variational inequality 、 Bounded function

摘要: We introduce and study the Split Common Null Point Problem (SCNPP) for set-valued maximal monotone mappings in Hilbert space. This problem generalizes our Variational Inequality (SVIP) [Y. Censor, A. Gibali S. Reich, Algorithms split variational inequality problem, Numerical Algorithms, accepted publication, DOI 10.1007/s11075-011-9490-5]. The SCNPP with only two entails finding a zero of mapping one space, image which under given bounded linear transformation is another mapping. present three iterative algorithms that solve such problems

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Weak and Strong Convergence of Algorithms for the Split Common Null Point Problem

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Weak and Strong Convergence of Algorithms for the Split Common Null Point Problem

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