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检索条件"主题词=coderivatives"
44 条 记 录,以下是21-30 订阅
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FULL STABILITY OF LOCALLY OPTIMAL SOLUTIONS IN SECOND-ORDER CONE PROGRAMS
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SIAM JOURNAL ON OPTIMIZATION 2014年 第4期24卷 1581-1613页
作者: Mordukhovich, Boris S. Outrata, Jiri V. Sarabi, M. Ebrahim Wayne State Univ Dept Math Detroit MI 48202 USA King Fahd Univ Petr & Minerals Dhahran 31261 Saudi Arabia Acad Sci Czech Republ Inst Informat Theory & Automat CR-18208 Prague Czech Republic Federat Univ Australia Ctr Informat & Appl Optimizat Ballarat Vic 3353 Australia
The paper presents complete characterizations of Lipschitzian full stability of locally optimal solutions to second-order cone programs (SOCPs) expressed entirely in terms of their initial data. These characterization... 详细信息
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On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind
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SET-VALUED AND VARIATIONAL ANALYSIS 2022年 第4期30卷 1453-1484页
作者: Gfrerer, Helmut Outrata, Jiri V. Valdman, Jan Johannes Kepler Univ Linz Inst Computat Math A-4040 Linz Austria Czech Acad Sci Inst Informat Theory & Automat Prague 18208 Czech Republic Federat Univ Australia Ctr Informat & Appl Optimizat POB 663 Ballarat Vic 3350 Australia Czech Tech Univ Fac Informat Technol Dept Appl Math Thakurova 9 Prague 160006 6 Czech Republic
The paper starts with a description of SCD (subspace containing derivative) mappings and the SCD semismooth* Newton method for the solution of general inclusions. This method is then applied to a class of variational ... 详细信息
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Coderivative calculus and metric regularity for constraint and variational systems
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2009年 第1期70卷 529-552页
作者: Geremew, W. Mordukhovich, B. S. Nam, N. M. Wayne State Univ Dept Math Detroit MI 48202 USA Richard Stockton Coll New Jersey Dept Math Pomona NJ 08240 USA Univ Texas Pan Amer Dept Math Edinburg TX 78539 USA
This paper provides new developments in generalized differentiation theory of variational analysis with their applications to metric regularity of parameterized constraint and variational systems in finite-dimensional... 详细信息
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Frechet subdifferential calculus and optimality conditions in nondifferentiable programming
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OPTIMIZATION 2006年 第5-6期55卷 685-708页
作者: Mordukhovich, B. S. Nam, N. M. Yen, N. D. Wayne State Univ Dept Math Detroit MI 48202 USA Inst Math Hanoi 10307 Vietnam
We develop various (exact) calculus rules for Frechet lower and upper subgradients of extended-real-valued functions in real Banach spaces. Then we apply this calculus to derive new necessary optimality conditions for... 详细信息
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Subdifferential analysis of differential inclusions via discretization
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JOURNAL OF DIFFERENTIAL EQUATIONS 2012年 第1期253卷 203-224页
作者: Pang, C. H. Jeffrey MIT Dept Math Cambridge MA 02139 USA
The framework of differential inclusions encompasses modern optimal control and the calculus of variations. Necessary optimality conditions in the literature identify potentially optimal paths, but do not show how to ... 详细信息
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SUBOPTIMALITY CONDITIONS FOR MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS
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TAIWANESE JOURNAL OF MATHEMATICS 2008年 第9期12卷 2569-2592页
作者: Bao, Truong Q. Gupta, Pankaj Mordulchovich, Boris S. Wayne State Univ Dept Math Detroit MI 48202 USA Univ Delhi Dept Operat Res Delhi 110007 India
In this paper we study mathematical programs with equilibrium constraints (MPECs) described by generalized equations in the extended form 0 is an element of G(x,y) + Q(x,y), where both mappings G and Q are set-valued.... 详细信息
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Implicit multifunction theorems
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SET-VALUED ANALYSIS 1999年 第3期7卷 209-238页
作者: Ledyaev, YS Zhu, QJJ Western Michigan Univ Dept Math & Stat Kalamazoo MI 49008 USA
We prove a general implicit function theorem for multifunctions with a metric estimate on the implicit multifunction and a characterization of its coderivative. Traditional open covering theorems, stability results, a... 详细信息
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Variational Analysis of Paraconvex Multifunctions
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2022年 第1-3期193卷 180-218页
作者: Huynh Van Ngai Nguyen Huu Tron Nguyen Van Vu Thera, Michel Quy Nhon Univ Dept Math 170 An Duong Vuong Quy Nhon Binh Dinh Vietnam Univ Limoges XLIM UMR CNRS 7252 123 Ave Albert Thomas F-87060 Limoges France Federation Univ Ctr Informat & Appl Optimizat Sch Engn Informat Technol & Phys Sci Ballarat Vic Australia
Our aim in this article is to study the class of so-called rho-paraconv ex multifunctions from a Banach space X into the subsets of another Banach space Y. These multifunctions are defined in relation with a modulus f... 详细信息
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Quantitative stability of linear infinite inequality systems under block perturbations with applications to convex systems
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TOP 2012年 第2期20卷 310-327页
作者: Canovas, M. J. Lopez, M. A. Mordukhovich, B. S. Parra, J. Miguel Hernandez Univ Elche Ctr Operat Res Elche 03202 Alicante Spain Univ Alicante Dept Stat & Operat Res E-03080 Alicante Spain Wayne State Univ Dept Math Detroit MI 48202 USA
The original motivation for this paper was to provide an efficient quantitative analysis of convex infinite (or semi-infinite) inequality systems whose decision variables run over general infinite-dimensional (resp. f... 详细信息
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A derivative-coderivative inclusion in second-order nonsmooth analysis
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SET-VALUED ANALYSIS 1997年 第1期5卷 89-105页
作者: Rockafellar, RT Zagrodny, D UNIV WASHINGTON DEPT MATH SEATTLE WA 98195 USA TECH UNIV LODZ MATH INST PL-90924 LODZ POLAND
For twice smooth functions, the symmetry of the matrix of second partial derivatives is automatic and can be seen as the symmetry of the Jacobian matrix of the gradient mapping. For nonsmooth functions, possibly even ... 详细信息
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