OPTIMALITY_CONDITIONS

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Optimality Conditions for Minimax Optimization Problems with an Infinite Number of Constraints and Related Applications被引量：2
《Acta Mathematicae Applicatae Sinica》2021年第2期251-263,共13页Li-nan ZHONG Yuan-feng JIN 
supported by the National Natural Science Foundation of China(No.11761072);the Project of Jilin Science and Technology Development for Leading Talent of Science and Technology Innovation in Middle and Young and Team Project(No.20200301053RQ)。
This paper is concerned with the study of optimality conditions for minimax optimization problems with an infinite number of constraints,denoted by(MMOP).More precisely,we first establish necessary conditions for opti...
关键词：minimax programming problem semi-infinite optimization limiting subdifferential multiobjective optimization approximate solutions 
Optimality Conditions for Strictly Efficient Solutions in Set-valued Optimization被引量：1
《Acta Mathematicae Applicatae Sinica》2020年第4期891-901,共11页Yi-hong XU 
This research was supported by the National Natural Science Foundation of China Grant(11961047);the Natural Science Foundation of Jiangxi Province(20192BAB201010).
A new kind of tangent derivative,M-derivative,for set-valued function is introduced with help of a modified Dubovitskij-Miljutin cone.Several generalized pseudoconvex set-valued functions are introduced.When both the ...
关键词：strict efficiency near cone-subconvexlikeness set-valued optimization CONE 
Higher-order Optimality Conditions and Duality for Approximate Solutions in Non-convex Set-valued Optimization
《Acta Mathematicae Applicatae Sinica》2019年第3期620-628,共9页Guo-lin YU Tian-tian GONG 
supported by Natural Science Foundation of China government under Grant No.11861002;Natural Science Foundation of Ningxia under Grant No.NZ17112;First-Class Disciplines Foundation of Ningxia under Grant No.NXYLXK2017B09;The Key Project of North Minzu University under Grant No.ZDZX201804;Graduate Innovation Project of North Minzu University No.YCX19122;Nonlinear analysis and financial optimization research center of North Minzu University
This paper deals with higher-order optimality conditions and duality theory for approximate solutions in vector optimization involving non-convex set-valued maps.Firstly,under the assumption of near cone-subconvexlike...
关键词：studniarski DERIVATIVES OPTIMALITY conditions SET-VALUED optimization problem efficiency DUALITY 
Optimality Conditions of the Set-valued Optimization Problem with Generalized Cone Convex Set-valued Maps Characterized by Contingent Epiderivative被引量：2
《Acta Mathematicae Applicatae Sinica》2018年第1期11-18,共8页Zhi-ang ZHOU Xin-min YANG Qiu-sheng QIU 
supported by the National Nature Science Foundation of China(11431004,11471291);the General Project of Chongqing Frontier and Applied Foundation Research(cstc2015jcyj A00050);the Key Project of Chongqing Frontier and Applied Foundation Research(cstc2017jcyj BX0055,cstc2015jcyj BX0113)
In this paper, firstly, a new notion of generalized cone convex set-valued map is introduced in real normed spaces. Secondly, a property of the generalized cone convex set-valued map involving the contingent epideriva...
关键词：set-valued maps generalized cone convexity Henig proper efficiency contingent epiderivative optimality conditions 
New Second-order Contingent Epiderivatives and Set-valued Optimization Problems被引量：1
《Acta Mathematicae Applicatae Sinica》2016年第4期983-994,共12页Sheng-kun ZHU Sheng-jie LI 
Supported in part by the National Natural Science Foundation of China under Grant No.11601437,11526165and 11571055;the Scientific Research Fund of Sichuan Provincial Science and Technology Department under Grant No.2015JY0237;the Fundamental Research Funds for the Central Universities under Grant No.JBK160129
In this paper, we introduce the concept of second-order compound contingent epiderivative for set-valued maps and discuss its relationship to the second-order contingent epiderivative. Simultaneously, we also investig...
关键词：set-valued optimization second-order compound contingent epiderivative optimality conditions 
The UV-Decomposition on a Class of D.C.Functions and Optimality Conditions
《Acta Mathematicae Applicatae Sinica》2007年第1期29-38,共10页Wei Wang Li-Ping Pang Zun-Quan Xia 
Supported by the Foundations of Ph.D.Units,the Ministry of Education(20020141013);National Natural Science Foundation of China(No.10001007)
In this paper, the uV-theory and P-differential calculus are employed to study second-order expansion of a class of D,C, functions and minimization problems. Under certain conditions, some properties of the u-Lagrangi...
关键词：Nonlinear programming nonsmooth optimization optimality condition uv-decomposition D.C. optimization 
On First Order Optimality Conditions for Vector Optimization被引量：1
《Acta Mathematicae Applicatae Sinica》2003年第3期371-386,共16页L.M.Gra■a Drummond A.N.Iusem B.F.Svaiter 
a post-doctoral fellowship within the Department of Mathematics of the University of Haifa and by FAPERJ (Grant No.E-26/152.107/1990-Bolsa);Partially supported by CNP_q (Grant No.301280/86).Partially supported by CNP_q (Grant No.3002748/2002-4)
We develop first order optimality conditions for constrained vector optimization. The partial orders for the objective and the constraints are induced by closed and convex cones with nonempty interior. After presentin...
关键词：Cone constraints vector optimization Pareto minimization first order optimality conditions convex programming DUALITY 
THE C_M-EMBEDDED PROBLEM AND OPTIMALITY CONDITIONS
《Acta Mathematicae Applicatae Sinica》1990年第1期22-34,共13页夏尊铨 STRODIOT J.-J. NGUYEN V.HIEN 
In this paper the C_M-embedded problem which is also called the design centering problem inother papers will be described, and new optimality conditions and some results associated withoptimality conditions will be pr...
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