On the hierarchical variational inclusion problems in Hilbert spaces

Shih Sen Chang, Jong Kyu Kim, Heung Wing Joseph Lee, Chi Kin Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)

Abstract

The purpose of this paper is by using Maingé's approach to study the existence and approximation problem of solutions for a class of hierarchical variational inclusion problems in the setting of Hilbert spaces. As applications, we solve the convex programming problems and quadratic minimization problems by using the main theorems. Our results extend and improve the corresponding recent results announced by many authors.
Original languageEnglish
Article number179
JournalFixed Point Theory and Applications
Volume2013
DOIs
Publication statusPublished - 1 Jan 2013

Keywords

  • Demiclosed principle
  • Hierarchical optimization problems
  • Hierarchical variational inclusion problem
  • Hierarchical variational inequality problem
  • Quasi-nonexpansive mapping
  • Strongly quasi-nonexpansive mapping

ASJC Scopus subject areas

  • Geometry and Topology
  • Applied Mathematics

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