Operations Research Transactions ›› 2025, Vol. 29 ›› Issue (4): 72-82.doi: 10.15960/j.cnki.issn.1007-6093.2025.04.006

• Research Article • Previous Articles     Next Articles

Optimality conditions of weakly semi-E-convex programming

Xiaofang WANG1, Zhian LIANG1,*(), Caixia GAO1   

  1. 1. School of Mathematics and Science, Inner Mongolia University, Hohhot 010021, Inner Mongolia, China
  • Received:2022-11-16 Online:2025-12-15 Published:2025-12-11
  • Contact: Zhian LIANG E-mail:zhianl@163.com

Abstract:

In this paper, we introduce a new class of generalized convex functions: weakly semi-$E$-convex functions and establish its corresponding weakly semi-$E$-convex programming. We discuss the properties of solutions of weakly semi-$E$-convex programming and give the optimality conditions of weakly semi-$E$-convex programming.

Key words: weakly semi-E-convex functions, weakly semi-E-convex programming, saddle points, stable points, optimality conditions

CLC Number: