A proximal point algorithm with general errors

Research output: Contribution to journalArticle

Abstract

In this paper, we state and prove a strong convergence result associated with a proximal point algorithm introduced by Yao and Shahzad [Strong convergence of a proximal point algorithm with general errors, to appear in Optim. Lett.] under less restrictive conditions on the control parameters involved. Therefore, the main result of this paper improves significantly the main result of the above quoted paper. We also give a generalization of the well known lemma due to Xu [Iterative algorithms for nonlinear operators, J. London Math. Soc. 66 (2002), 240-256].

Original languageEnglish
Pages (from-to)346-353
Number of pages8
JournalMathematical Sciences Research Journal
Volume15
Issue number12
Publication statusPublished - 2011

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Proximal Point Algorithm
Strong Convergence
Nonlinear Operator
Convergence Results
Control Parameter
Iterative Algorithm
Lemma
Generalization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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A proximal point algorithm with general errors. / Boikanyo, Oganeditse A.

In: Mathematical Sciences Research Journal, Vol. 15, No. 12, 2011, p. 346-353.

Research output: Contribution to journalArticle

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