Second-ordered Characterization of Generalized Convex Functions and Their Applications in Optimization Problems

نویسندگان

1 دانشگاه بین المللی امام خمینی

2 دانشگاه رازی

doi
10.22059/jsciences.2025.389419.1007912
چکیده

This survey investigates some developments in the second-order characterization of generalized convex functions using the coderivative of subdifferential mapping. More precisely, it presents the second-order characterization for quasiconvex, pseudoconvex and invex functions. Furthermore , it gives some applications of the second-order subdifferentials in optimization problems such as constrained and unconstrained nonlinear programming.