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Operations Research Transactions >

2025 , Vol. 29 >Issue 4: 72 - 82

DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2025.04.006

Research Article

Optimality conditions of weakly semi-E-convex programming

  • Xiaofang WANG ,
  • Zhian LIANG ,
  • Caixia GAO
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  • 1. School of Mathematics and Science, Inner Mongolia University, Hohhot 010021, Inner Mongolia, China

Received date: 2022-11-16

  Online published: 2025-12-11

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, 2025, All rights reserved. Unauthorized reproduction is prohibited.
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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

Cite this article

Xiaofang WANG , Zhian LIANG , Caixia GAO . Optimality conditions of weakly semi-E-convex programming[J]. Operations Research Transactions, 2025 , 29(4) : 72 -82 . DOI: 10.15960/j.cnki.issn.1007-6093.2025.04.006

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