@article{Khan2022, 
author = {Faizan A. Khan and Rohit K. Bhardwaj and Tirth Ram and Mohammed A. S. Tom},
title = {On approximate vector variational inequalities and vector optimization problem using convexificator},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {10},
pages = {18870-18882},
keywords = {approximate efficient solutions, convexificator, nonsmooth vector optimization problem, vector variational inequality},
url = {https://www.sciopen.com/article/10.3934/math.20221039},
doi = {10.3934/math.20221039},
abstract = {In the present article, we study a vector optimization problem involving convexificator-based locally Lipschitz approximately convex functions and give some ideas for approximate efficient solutions. In terms of the convexificator, we approximate Stampacchia-Minty type vector variational inequalities and use them to describe an approximately efficient solution to the nonsmooth vector optimization problem. Moreover, we give a numerical example that attests to the credibility of our results.}
}