On system of generalized vector quasi-equilibrium problems with set-valued maps

Jian Wen Peng, Heung Wing Joseph Lee, Xin Min Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

14 Citations (Scopus)

Abstract

In this paper, we introduce four new types of the system of generalized vector quasi-equilibrium problems with set-valued maps which include system of vector quasi-equilibrium problems, system of vector equilibrium problems, system of variational inequality problems, and vector equilibrium problems in the literature as special cases. We prove the existence of solutions for such kinds of system of generalized vector quasi-equilibrium problems. Consequently, we derive some existence results of a solution for the system of vector quasi-equilibrium problems and the generalized Debreu type equilibrium problem for vector-valued functions.
Original languageEnglish
Pages (from-to)139-158
Number of pages20
JournalJournal of Global Optimization
Volume36
Issue number1
DOIs
Publication statusPublished - 1 Sep 2006

Keywords

  • Φ-condensing map
  • C -0-partially diagonally quasiconvex i-x
  • Generalized Debreu type equilibrium problem
  • Maximal element theorem
  • System of generalized vector quasi-equilibrium problems
  • System of vector quasi-equilibrium problems

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

Cite this