Regularization methods for accretive variational inequalities over the set of common fixed points of nonexpansive semigroups

Nguyen Thi Thu Thuy, Pham Thanh Hieu, Jean-Jacques Strodiot

Research output: Contribution to journalArticle

Abstract

In this paper, we introduce a regularization method based on the Browder–Tikhonov regularization method for solving a class of accretive variational inequalities over the set of common fixed points of a nonexpansive semigroup on a uniformly smooth Banach space. Three algorithms based on this regularization method are given and their strong convergence is studied. Finally, a finite-dimensional example is developed to illustrate the numerical behaviour of the algorithms.

Original languageEnglish
Pages (from-to)1553-1567
Number of pages15
JournalOptimization
Volume65
Issue number8
DOIs
Publication statusPublished - 2 Aug 2016

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Nonexpansive Semigroup
Regularization Method
Common Fixed Point
Variational Inequalities
Banach spaces
Uniformly Smooth Banach Space
Strong Convergence
Fixed point
Variational inequalities
Regularization

Keywords

  • accretive mapping
  • common fixed point
  • nonexpansive semigroup
  • NST condition
  • Regularization
  • variational inequality

Cite this

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Regularization methods for accretive variational inequalities over the set of common fixed points of nonexpansive semigroups. / Thuy, Nguyen Thi Thu; Hieu, Pham Thanh; Strodiot, Jean-Jacques.

In: Optimization, Vol. 65, No. 8, 02.08.2016, p. 1553-1567.

Research output: Contribution to journalArticle

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AU - Hieu, Pham Thanh

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