Characterization of Nonsmooth Quasiconvex Functions and their Greenberg–Pierskalla’s Subdifferentials Using Semi-Quasidifferentiability notion
Characterization of Nonsmooth Quasiconvex Functions and their Greenberg–Pierskalla’s Subdifferentials Using Semi-Quasidifferentiability notion
Author(s): A. Kabgani
Year: 2021
Title: Characterization of Nonsmooth Quasiconvex Functions and their Greenberg–Pierskalla’s Subdifferentials Using Semi-Quasidifferentiability notion
Journal: Journal of Optimization Theory and Applications
Volume: 189
Pages: 666-678
Doi: https://doi.org/10.1007/s10957-021-01851-w
Cite this article
Kabgani, A. Characterization of Nonsmooth Quasiconvex Functions and their Greenberg–Pierskalla’s Subdifferentials Using Semi-Quasidifferentiability notion. Journal of Optimization Theory and Applications , 189, 666–678 (2021). https://doi.org/10.1007/s10957-021-01851-w
Abstract
The relationships between Greenberg–Pierskalla’s subdifferential and some variants of it and semi-quasidifferentials of quasiconvex functions are studied in this paper. Also, some characterizations of quasiconvex functions in terms of semi-quasidifferentials and the connection between quasimonotonicity of semi-quasidifferentials and quasiconvexity are investigated.