Systems of generalized variational inequalities and their applications

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53 Scopus citations

Abstract

In this paper, we first introduce the system of generalized implicit variational inequalities and prove the existence of its solution. Then we derive existence results for systems of generalized variational and variational like inequalities and system of variational inequalities. As applications, we establish some existence results for a solution to the system of optimization problems which includes the Nash equilibrium problem as a special case.

Original languageEnglish
Pages (from-to)203-217
Number of pages15
JournalInternational Journal of Phytoremediation
Volume76
Issue number3-4
DOIs
StatePublished - Dec 2000
Externally publishedYes

Keywords

  • Fixed points
  • The Nash equilibrium problem
  • The system of generalized implicit variational inequalities
  • The system of generalized variational like inequalities
  • The system of optimization problems
  • The system of variational inequalities

ASJC Scopus subject areas

  • Environmental Chemistry
  • Pollution
  • Plant Science

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