Viscosity method for hierarchical fixed point and variational inequalities with applications

Shi Sheng Zhang, Xiong Rui Wang, Heung Wing Joseph Lee, Chi Kin Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

8 Citations (Scopus)

Abstract

A viscosity method for a hierarchical fixed point solving variational inequality problems is presented. The method is used to solve variational inequalities, where the involved mappings are non-expansive. Solutions are sought in the set of the fixed points of another non-expansive mapping. As applications, we use the results to study problems of the monotone variational inequality, the convex programming, the hierarchical minimization, and the quadratic minimization over fixed point sets.
Original languageEnglish
Pages (from-to)241-250
Number of pages10
JournalApplied Mathematics and Mechanics (English Edition)
Volume32
Issue number2
DOIs
Publication statusPublished - 1 Feb 2011

Keywords

  • fixed point
  • hierarchical fixed point
  • hierarchical minimization
  • non-expansive mapping
  • viscosity approximation

ASJC Scopus subject areas

  • Applied Mathematics
  • Mechanics of Materials
  • Mechanical Engineering

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