w-Invexity and Optimality Problem
Optimization and Control
2022-08-23 v1 Differential Geometry
Abstract
We define w-invex set, w-preinvex, w-strictly preinvex, w-quasi preinvex, w-strictly quasi preinvex, w-semi-strictly quasi preinvex, and w-pre pseudo-invex functions in this context. And these form a class of real functions, which is the generalization of a family of preinvex functions. Here, we provide a thorough analysis of the core characteristics of these functions, along with numerous examples that help to illustrate the idea. Finally, w-quasi preinvex, w-strictly preinvex, and w-strictly quasi preinvex functions are used to analyze the optimization problems.
Keywords
Cite
@article{arxiv.2208.10080,
title = {w-Invexity and Optimality Problem},
author = {Musavvir Ali and Ehtesham Akhter},
journal= {arXiv preprint arXiv:2208.10080},
year = {2022}
}