Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Lower semicontinuity for parametric set-valued vector equilibrium-like problems

Document Type : Research Paper

Author
School of Mathematics and Statistics, Southwest University
Abstract
A concept of weak $f$-property for a set-valued mapping is introduced‎, ‎and then under some suitable assumptions‎, ‎which do not involve any information‎
‎about the solution set‎, ‎the lower semicontinuity of the solution mapping to‎
‎the parametric‎
‎set-valued vector equilibrium-like problems are derived by using a density result and scalarization method‎, ‎where the‎
‎constraint set $K$ and a set-valued mapping $H$ are perturbed by‎
‎different parameters‎.
Keywords
Subjects

Volume 40, Issue 5 - Serial Number 5
October 2014
Pages 1195-1212

  • Receive Date 22 May 2013
  • Revise Date 30 August 2013
  • Accept Date 30 August 2013