Quasi Strongly $E$-preinvexity and its Relationships with Nonlinear Programming
Optimization and Control
2023-01-19 v1
Abstract
In this paper, we extend the class of strongly -preinvex and strongly -invex functions to quasi strongly -preinvex, quasi strongly -invex and pseudo strongly -invex functions. Some nontrivial suitable examples have been constructed in support of our definitions. Several interesting properties and relationships of these functions are discussed. Furthermore, to show the application of our results, we consider a nonlinear programming problem and show that the local minimum point is also a strictly global minimum.
Cite
@article{arxiv.2301.07549,
title = {Quasi Strongly $E$-preinvexity and its Relationships with Nonlinear Programming},
author = {Akhlad Iqbal and Askar Hussain},
journal= {arXiv preprint arXiv:2301.07549},
year = {2023}
}