A proximal point method involving two resolvent operators

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We construct a sequence of proximal iterates that converges strongly (under minimal assumptions) to a common zero of two maximal monotone operators in a Hilbert space. The algorithm introduced in this paper puts together several proximal point algorithms under one frame work. Therefore, the results presented here generalize and improve many results related to the proximal point algorithm which were announced recently in the literature.

Original languageEnglish
Article number892980
JournalAbstract and Applied Analysis
Volume2012
DOIs
Publication statusPublished - Nov 30 2012

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Proximal Point Method
Resolvent Operator
Proximal Point Algorithm
Maximal Monotone Operator
Iterate
Hilbert space
Hilbert spaces
Converge
Generalise
Mathematical operators
Zero
Framework

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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abstract = "We construct a sequence of proximal iterates that converges strongly (under minimal assumptions) to a common zero of two maximal monotone operators in a Hilbert space. The algorithm introduced in this paper puts together several proximal point algorithms under one frame work. Therefore, the results presented here generalize and improve many results related to the proximal point algorithm which were announced recently in the literature.",
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A proximal point method involving two resolvent operators. / Boikanyo, Oganeditse A.

In: Abstract and Applied Analysis, Vol. 2012, 892980, 30.11.2012.

Research output: Contribution to journalArticle

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