Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Some existence results for generalized vector quasi-equilibrium problems

Document Type : Research Paper

Authors
1 Department of Mathematics‎, ‎Aligarh Muslim University‎, ‎Aligarh-202002‎, ‎India
2 Department of Mathematics Faculty of Science Islamic University in Madinah, Madinah‎, ‎KSA
Abstract
‎In this paper‎, ‎we introduce and study a class of generalized vector quasi-equilibrium problem‎, ‎which includes many vector equilibrium problems‎, ‎equilibrium problems‎, ‎vector variational inequalities and variational inequalities as special cases‎. ‎Using one person game theorems‎, ‎the concept of escaping sequences and without convexity assumptions‎, ‎we prove some existence results for generalized vector quasi-equilibrium problem‎.
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Subjects

Volume 41, Issue 6 - Serial Number 6
December 2015
Pages 1413-1422

  • Receive Date 03 July 2013
  • Revise Date 27 August 2014
  • Accept Date 28 August 2014