Split Algorithms for New Implicit Feasibility Null-Point Problems
نویسندگان
چکیده
منابع مشابه
Split Algorithms for New Implicit Feasibility Null-Point Problems
Inspired by the very recent work by Noor and Noor [9] and given a closed convex set-valued mapping C, we propose a split algorithm for solving the problem of finding an element x∗ which is a zero of a given maximal monotone operator T such that its image, Ax∗, under a linear operator, A, is in a closed convex set C(x∗). Then, we present two strong convergence results and state some examples as ...
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and Applied Analysis 3 open topic. For example, it is yet not clear whether the dual approach to (7) of [29] can be extended to the SFP. The original algorithm given in [15] involves the computation of the inverse A (assuming the existence of the inverse of A), and thus has not become popular. A seemingly more popular algorithm that solves the SFP is the CQ algorithm of Byrne [16, 21] which is ...
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We introduce and study the Split Common Null Point Problem (SCNPP) for set-valued maximal monotone mappings in Hilbert space. This problem generalizes our Split Variational Inequality Problem (SVIP) [Y. Censor, A. Gibali and S. Reich, Algorithms for the split variational inequality problem, Numerical Algorithms, accepted for publication, DOI 10.1007/s11075-011-9490-5]. The SCNPP with only two s...
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and Applied Analysis 3 in medical image reconstruction. A number of image reconstruction problems can be formulated as the SFP; see, for example, 11 and the references therein. Recently, it is found that the SFP can also be applied to study intensity-modulated radiation therapy IMRT 12–14 . In the recent past, a wide variety of iterative methods have been used in signal processing and image rec...
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ژورنال
عنوان ژورنال: Applied Mathematics & Information Sciences
سال: 2014
ISSN: 1935-0090,2325-0399
DOI: 10.12785/amis/080504