Modified Rockafellar's algorithms

O. A. Boikanyo, G. Moroşanu

    Research output: Contribution to journal › Article

    24 Citations (Scopus)

    Abstract

    In this paper, proximal point algorithms for nonexpansive (sequences of nonexpan-sive) maps and maximal monotone operators are studied. A modification of Xu's algorithm is given and a strong convergence result associated with it is proved when the error sequence is in ℓp for 1 ≤ p < 2. We also propose some other modifications of the celebrated Rockafellar's algorithm which generate weak or strong convergent sequences.

    Original languageEnglish
    Pages (from-to)101-122
    Number of pages22
    JournalMathematical Sciences Research Journal
    Volume13
    Issue number5
    Publication statusPublished - 2009

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    Proximal Point Algorithm
    Maximal Monotone Operator
    Convergent Sequence
    Strong Convergence
    Convergence Results

    All Science Journal Classification (ASJC) codes

    • Mathematics(all)

    Cite this

    Boikanyo, O. A. ; Moroşanu, G. / Modified Rockafellar's algorithms. In: Mathematical Sciences Research Journal. 2009 ; Vol. 13, No. 5. pp. 101-122.
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    Boikanyo, OA & Moroşanu, G 2009, 'Modified Rockafellar's algorithms', Mathematical Sciences Research Journal, vol. 13, no. 5, pp. 101-122.

    Modified Rockafellar's algorithms. / Boikanyo, O. A.; Moroşanu, G.

    In: Mathematical Sciences Research Journal, Vol. 13, No. 5, 2009, p. 101-122.

    Research output: Contribution to journal › Article

    TY - JOUR

    T1 - Modified Rockafellar's algorithms

    AU - Boikanyo, O. A.

    AU - Moroşanu, G.

    PY - 2009

    Y1 - 2009

    N2 - In this paper, proximal point algorithms for nonexpansive (sequences of nonexpan-sive) maps and maximal monotone operators are studied. A modification of Xu's algorithm is given and a strong convergence result associated with it is proved when the error sequence is in ℓp for 1 ≤ p < 2. We also propose some other modifications of the celebrated Rockafellar's algorithm which generate weak or strong convergent sequences.

    AB - In this paper, proximal point algorithms for nonexpansive (sequences of nonexpan-sive) maps and maximal monotone operators are studied. A modification of Xu's algorithm is given and a strong convergence result associated with it is proved when the error sequence is in ℓp for 1 ≤ p < 2. We also propose some other modifications of the celebrated Rockafellar's algorithm which generate weak or strong convergent sequences.

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    JO - Mathematical Sciences Research Journal

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    Boikanyo OA, Moroşanu G. Modified Rockafellar's algorithms. Mathematical Sciences Research Journal. 2009;13(5):101-122.

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