On Convexification for a Class of Global Optimization Problems

作     者：Qian Yan Xin-Min Yang Zhi-You Wu 

作者机构：College of MathematicsSichuan UniversityChengdu610065SichuanChina School of Mathematical ScienceChongqing Normal UniversityChongqing401331China 

出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)

年 卷 期：2022年第10卷第3期

页      面：427-446页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 0701[理学-数学] 

基　　金：founded by the National Natural Science Foundation of China(Nos.11991024 11871128 and 11771064). 

主　　题：Global optimization Deficiency Counterexample Monotone optimization Convexification method 

摘      要：In this paper,firstly,we give a counterexample to point out there exist deficiencies in our previous works(Wu et al.in J Glob Optim 31:45-60,2005).In addition,we improve the corresponding results.Finally,an example is presented to illustrate how a monotone non-convex optimization problem can be transformed into an equivalent convex minimization problem.