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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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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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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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coderivatives OF FRONTIER AND SOLUTION MAPS IN PARAMETRIC MULTIOBJECTIVE OPTIMIZATION
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TAIWANESE JOURNAL OF MATHEMATICS 2008年 第8期12卷 2083-2111页
作者: Huy, N. Q. Mordukhovich, B. S. Yao, J. C. Natl Sun Yat Sen Univ Dept Appl Math Kaohsiung 80424 Taiwan Hanoi Pedag Univ 2 Dept Math Vinh Phuc Vietnam Wayne State Univ Dept Math Detroit MI 48202 USA
This paper concerns sensitivity analysis for general parametric constrained problems of multiobjective optimization in infinite-dimensional spaces by using advanced tools of modem variational analysis and generalized ... 详细信息
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Lipschitzian stability of parametric variational inequalities over generalized polyhedra in Banach spaces
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2011年 第2期74卷 441-461页
作者: Ban, Liqun Mordukhovich, Boris S. Song, Wen NE Normal Univ Dept Math Changchun 130024 Peoples R China Harbin Univ Sci & Technol Dept Math Harbin 150080 Peoples R China Wayne State Univ Dept Math Detroit MI 48202 USA Harbin Normal Univ Sch Math Sci Harbin 150080 Peoples R China
This paper concerns the study of solution maps to parameterized variational inequalities over generalized polyhedra in reflexive Banach spaces. It has been recognized that generalized polyhedral sets are significantly... 详细信息
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Generalized Differentiation with Positively Homogeneous Maps: Applications in Set-Valued Analysis and Metric Regularity
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MATHEMATICS OF OPERATIONS RESEARCH 2011年 第3期36卷 377-397页
作者: Pang, C. H. Jeffrey MIT Dept Math Cambridge MA 02139 USA
We propose a new concept of generalized differentiation of set-valued maps that captures first-order information. This concept encompasses the standard notions of Frechet differentiability, strict differentiability, c... 详细信息
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VARIATIONAL ANALYSIS IN SEMI-INFINITE AND INFINITE PROGRAMMING, II: NECESSARY OPTIMALITY CONDITIONS
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SIAM JOURNAL ON OPTIMIZATION 2010年 第6期20卷 2788-2806页
作者: Canovas, M. J. Lopez, M. A. Mordukhovich, B. S. Parra, J. Miguel Hernandez Univ 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
This paper concerns applications of advanced techniques of variational analysis and generalized differentiation to problems of semi-infinite and infinite programming with feasible solution sets defined by parameterize... 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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Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2009年 第2期350卷 663-679页
作者: Mordukhovich, Boris S. Nam, Nguyen Mau Wayne State Univ Dept Math Detroit MI 48202 USA Univ Texas Pan Amer Dept Math Edinburg TX 78539 USA
This paper is devoted to the development of variational analysis and generalized differentiation in the framework of Asplund spaces. We mainly concern the Study of a special class of set-valued mapping given in the fo... 详细信息
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VARIATIONAL ANALYSIS IN SEMI-INFINITE AND INFINITE PROGRAMMING, I: STABILITY OF LINEAR INEQUALITY SYSTEMS OF FEASIBLE SOLUTIONS
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SIAM JOURNAL ON OPTIMIZATION 2009年 第3期20卷 1504-1526页
作者: Canovas, M. J. Lopez, M. A. Mordukhovich, B. S. Parra, J. Miguel Hernandez Univ Elche Ctr Operat Res Alicante 03202 Spain Univ Alicante Dept Stat & Operat Res E-03080 Alicante Spain Wayne State Univ Dept Math Detroit MI 48202 USA
This paper concerns applications of advanced techniques of variational analysis and generalized differentiation to parametric problems of semi-infinite and infinite programming, where decision variables run over finit... 详细信息
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Metric Regularity of Mappings and Generalized Normals to Set Images
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SET-VALUED AND VARIATIONAL ANALYSIS 2009年 第4期17卷 359-387页
作者: Mordukhovich, Boris S. Nam, Nguyen Mau Wang, Bingwu Wayne State Univ Dept Math Detroit MI 48202 USA Univ Texas Pan Amer Dept Math Edinburg TX 78539 USA Eastern Michigan Univ Dept Math Ypsilanti MI 48197 USA
The primary goal of this paper is to study some notions of normals to nonconvex sets in finite-dimensional and infinite-dimensional spaces and their images under single-valued and set-valued mappings. The main motivat... 详细信息
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