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 journalArticlepeer-review

    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

    Keywords

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

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