Research Communication | Open Access
Volume 2019 | Communication ID 92
Volume 2019 | Communication ID 92
| On generalized approximate convexity in nonsmooth vector optimization |
Mohsine Jennane
Received |
Accepted |
Published |
Jan 23, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this paper, we consider a vector optimization problem involving generalized approximately convex functions. We formulate approximate vector variational inequalities in terms of convexicators and solve the vector optimization problem. Under the assumptions of generalized ap- proximate convexity, we establish necessary and sufficient conditions for a solution of approximate vector variational inequality to be an approximate efficient solution of the vector optimization problem.