Generalized convex functions and their applications in optimality conditions
Functional Analysis
2024-03-04 v2
Abstract
We introduce and study the notion of (e,y)-conjugate for a proper and e-convex function in locally convex spaces, which is an extension of the concept of the conjugate. The mutual relationships between the concepts of (e,y)-conjugacy and e-subdifferential are presented. Moreover, some applications of these notions in optimization are established.
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Cite
@article{arxiv.2402.15597,
title = {Generalized convex functions and their applications in optimality conditions},
author = {Mohammad Hossein Alizadeh and Alireza Youhannaee Zanjani},
journal= {arXiv preprint arXiv:2402.15597},
year = {2024}
}
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20 pages, 0 figure