Sufficiency and Duality for Nonsmooth Interval-Valued Optimization Problems via Generalized Invex-Infine Functions

作     者：Izhar Ahmad Krishna Kummari S.Al-Homidan Izhar Ahmad;Krishna Kummari;S.Al-Homidan

作者机构：Department of Mathematics and StatisticsKing Fahd University of Petroleum and MineralsDhahran31261Saudi Arabia Department of MathematicsSchool of ScienceGITAMHyderabad CampusHyderabad502329India 

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

年 卷 期：2023年第11卷第3期

页      面：505-527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] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：The authors are highly thankful to anonymous referees for their valuable suggestions/comments that helped to improve this article in its present form 

主　　题：Mordukhovich subdifferential Locally Lipschitz functions Generalized invex-infine function Interval-valued programming LU-optimal Constraint qualifications Duality 

摘      要：In this paper,a new concept of generalized-affineness type of functions is *** class of functions is more general than some of the corresponding ones discussed in Chuong(Nonlinear Anal Theory Methods Appl 75:5044–5052,2018),Sach et al.(J Global Optim 27:51–81,2003)and Nobakhtian(Comput Math Appl 51:1385–1394,2006).These concepts are used to discuss the sufficient optimality conditions for the interval-valued programming problem in terms of the limiting/Mordukhovich subdifferential of locally Lipschitz ***,two types of dual problems,namely Mond–Weir type and mixed type duals are formulated for an interval-valued programming problem and usual duality theorems are *** results improve and generalize the results appeared in Kummari and Ahmad(UPB Sci Bull Ser A 82(1):45–54,2020).