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检索条件"主题词=coderivative"
115 条 记 录,以下是31-40 订阅
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Lipschitzian stability of parametric variational inequalities over perturbed polyhedral convex sets
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OPTIMIZATION LETTERS 2012年 第4期6卷 749-762页
作者: Nguyen Thi Quynh Trang Vinh Univ Dept Math Vinh Nghe An Vietnam
In this paper we investigate the Lipschitz-like property of the solution mapping of parametric variational inequalities over perturbed polyhedral convex sets. By establishing some lower and upper estimates for the cod... 详细信息
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The Lagrange multiplier rule for multifunctions in Banach spaces
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SIAM JOURNAL ON OPTIMIZATION 2006年 第4期17卷 1154-1175页
作者: Zheng, Xi Yin Ng, Kung Fu Yunnan Univ Dept Math Kunming 650091 Peoples R China Chinese Univ Hong Kong Dept Math Shatin Hong Kong Peoples R China
We study general constrained multiobjective optimization problems with objectives being closed multifunctions in Banach spaces. In terms of the coderivatives and normal cones, we provide generalized Lagrange multiplie... 详细信息
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Variational inequalities over Euclidean balls
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MATHEMATICAL METHODS OF OPERATIONS RESEARCH 2013年 第2期78卷 243-258页
作者: Nguyen Thanh Qui Can Tho Univ Coll Informat & Commun Technol Can Tho Vietnam
This paper investigates solution stability of parametric variational inequalities over Euclidean balls in finite dimensional spaces. We provide exact formulas for computing required coderivatives of the normal cone ma... 详细信息
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The Stationary Point Set Map in General Parametric Optimization Problems
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SET-VALUED AND VARIATIONAL ANALYSIS 2022年 第1期30卷 305-327页
作者: Huyen, D. T. K. Yao, J-C Yen, N. D. Hanoi Pedag Univ 2 Dept Math Vinh Phuc Vietnam China Med Univ Ctr Gen Educ Taichung 40402 Taiwan Vietnam Acad Sci & Technol Inst Math Hanoi Vietnam
The present paper shows how thelinear independence constraint qualification(LICQ) can be combined with some conditions put on the first-order and second-order derivatives of the objective function and the constraint f... 详细信息
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Normal subdifferentials of efficient point multifunctions in parametric vector optimization
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OPTIMIZATION LETTERS 2013年 第6期7卷 1087-1117页
作者: Thai Doan Chuong Saigon Univ Dept Math & Applicat Ho Chi Minh City Vietnam
The normal subdifferential of a set-valued mapping with values in a partially ordered Banach space has been recently introduced in Bao and Mordukhovich (Control Cyber 36:531-562, 2007), by using the Mordukhovich coder... 详细信息
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Metric Subregularity of Multifunctions: First and Second Order Infinitesimal Characterizations
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MATHEMATICS OF OPERATIONS RESEARCH 2015年 第3期40卷 703-724页
作者: Huynh Van Ngai Phan Nhat Tinh Univ Quy Nhon Dept Math Quy Nhon Vietnam Hue Univ Sci Dept Math Hue Vietnam
Metric subregularity and regularity of multifunctions are fundamental notions in variational analysis and optimization. Using the concept of strong slope, in this paper we first establish a criterion for metric subreg... 详细信息
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Cooperative behavior of functions, relations and sets
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MATHEMATICAL METHODS OF OPERATIONS RESEARCH 1998年 第2期48卷 229-246页
作者: Penot, JP Univ Pau & Pays Adour Lab Math Appl CNRS UPRES A 5033 F-64000 Pau France
One of the main difficulties in nonsmooth analysis is to devise calculus rules. It is our purpose here to show that a certain cooperative behavior between functions (resp. sets, resp. multifunctions) yields calculus r... 详细信息
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A CLASS OF LINEAR GENERALIZED EQUATIONS
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SIAM JOURNAL ON OPTIMIZATION 2014年 第1期24卷 210-231页
作者: Nguyen Thanh Qui Nguyen Dong Yen Can Tho Univ Coll Informat & Commun Technol Can Tho Vietnam Vietnam Acad Sci & Technol Inst Math Hanoi 10307 Vietnam
Solution stability of a class of linear generalized equations in finite dimensional Euclidean spaces is investigated by means of generalized differentiation. Exact formulas for the Frechet and the Mordukhovich coderiv... 详细信息
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SET-VALUED RETURN FUNCTION AND GENERALIZED SOLUTIONS FOR MULTIOBJECTIVE OPTIMAL CONTROL PROBLEMS (MOC)
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SIAM JOURNAL ON CONTROL AND OPTIMIZATION 2013年 第3期51卷 2379-2405页
作者: Guigue, A. Univ British Columbia Dept Math Vancouver BC V6T 1Z2 Canada
In this paper, we consider a multiobjective optimal control problem where the preference relation in the objective space is defined in terms of a pointed convex cone containing the origin, which defines generalized Pa... 详细信息
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The Fermat rule for multifunctions for super efficiency
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2009年 第2期70卷 936-951页
作者: Huang, Hui Yunnan Univ Dept Math Kunming 650091 Peoples R China
Using variational analysis, we study the vector optimization problems with objectives being closed multifunctions on Banach spaces or in Asplund spaces. In terms of the coderivatives and normal cones, we present Ferma... 详细信息
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