Work

Rho-subdifferential and its applications to optimization problems

Year: 2025

Type: article

Abstract: The notion of $ \rho $-quasiconvex functions is introduced and investigated. A characterization of a differentiable $ \rho $-quasiconvex function is presented as well. Furthermore, the notion of $ \rho $-subdifferential is introduced, and a sum formula for the $ \rho $-subdifferential of a sum of two $ \rho $-quasiconvex functions is established. As an application, some optimality conditions are given to $ \rho $-quasiconvex vector optimization problems by $ \rho $-subdifferentials.

Source: Journal of Industrial and Management Optimization

DOI: 10.3934/jimo.2025070

Authors: Hui Huang, Hao Fang

Institution: Yunnan University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G3184260201