Abstract
It is known that vector variational inequality models arise from vector optimization and vector traffic equilibria. In this paper, existence results of a solution for a generalized vector pre-variational inequality and a generalized vector pre-quasi-variational inequality are established. The main condition used is that the underlying vector-valued function is assumed to be cone-quasi-convex. The main techniques employed are a nonlinear scalarization and fixed point theorems. Published by license under the Gordon and Breach Science Publishers imprint, a member of the Taylor & Francis Group.
Original language | English |
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Pages (from-to) | 1-15 |
Number of pages | 15 |
Journal | Optimization |
Volume | 50 |
Issue number | 1-2 |
Publication status | Published - 1 Dec 2001 |
Keywords
- Cone-quasi-convexity
- Nonlinear scalarization
- Quasi-vector variational inequality
- Vector variational inequality
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics