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

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

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