On vector variational-like inequalities.(English)Zbl 0909.49007

The authors study generalized vector variational inequalities where the ordering cone varies with a parametric vector. The problem discussed is closely related to invex-type vector optimization problems. Several types of existence of solutions are given with convexity. Some existence results are also presented without convexity, but for a vector variational inequality with a fixed ordering cone.

MSC:

 49J40 Variational inequalities 90C29 Multi-objective and goal programming