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检索条件"主题词=coderivatives"
44 条 记 录,以下是31-40 订阅
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Normal and mixed partial second-order subdifferentials in variational analysis and optimization
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POSITIVITY 2018年 第3期22卷 671-685页
作者: Sadeqi, Ildar Nadi, Somayeh Sahand Univ Technol Dept Math Tabriz Iran
A partial second-order subdifferential is defined here for extended real valued functions of two variables corresponding to its variables through coderivatives of first-order partial subdifferential mappings. In addit... 详细信息
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Tilt stability of a local minimum
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SIAM JOURNAL ON OPTIMIZATION 1998年 第2期8卷 287-299页
作者: Poliquin, RA Rockafellar, RT Univ Alberta Dept Math Sci Edmonton AB T6G 2G1 Canada Univ Washington Dept Math Seattle WA 98195 USA Univ Perpignan F-66025 Perpignan France
The behavior of a minimizing point when an objective function is tilted by adding a small linear term is studied from the perspective of second-order conditions for local optimality. The classical condition of a posit... 详细信息
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Algebraic core and convex calculus without topology
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OPTIMIZATION 2022年 第2期71卷 309-335页
作者: Dang Van Cuong Mordukhovich, Boris S. Nguyen Mau Nam Cartmell, Addison Duy Tan Univ Fac Nat Sci Dept Math Da Nang Vietnam Duy Tan Univ Inst Res & Dev Da Nang Vietnam Wayne State Univ Dept Math Detroit MI 48202 USA Portland State Univ Farlborz Maseeh Dept Math & Stat Portland OR 97207 USA
In this paper we study the concept of algebraic core for convex sets in general vector spaces without any topological structure and then present its applications to problems of convex analysis and optimization. Derivi... 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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The radius of metric regularity
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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 2003年 第2期355卷 493-517页
作者: Dontchev, AL Lewis, AS Rockafellar, RT Amer Math Soc Math Reviews Ann Arbor MI 48107 USA Simon Fraser Univ Dept Math Burnaby BC V5A 1S6 Canada Univ Washington Dept Math Seattle WA 98195 USA
Metric regularity is a central concept in variational analysis for the study of solution mappings associated with "generalized equations", including variational inequalities and parameterized constraint syst... 详细信息
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Linearly perturbed generalized polyhedral normal cone mappings and applications
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OPTIMIZATION 2016年 第1期65卷 9-34页
作者: Ban, Liqun Song, Wen Harbin Univ Sci & Technol Dept Math Harbin Peoples R China Harbin Normal Univ Dept Math Harbin Peoples R China
Under a mild regularity assumption, we derive an exact formula for the Frechet coderivative and some estimates for the Mordukhovich coderivative of the normal cone mappings of perturbed generalized polyhedra in reflex... 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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Coderivative analysis of variational systems
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JOURNAL OF GLOBAL OPTIMIZATION 2004年 第3-4期28卷 347-362页
作者: Mordukhovich, BS Wayne State Univ Dept Math Detroit MI 48202 USA
The paper mostly concerns applications of the generalized differentiation theory in variational analysis to Lipschitzian stability and metric regularity of variational systems in infinite dimensional spaces. The main ... 详细信息
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PARTIAL SECOND-ORDER SUBDIFFERENTIALS IN VARIATIONAL ANALYSIS AND OPTIMIZATION
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NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 2014年 第7-9期35卷 1113-1151页
作者: Mordukhovich, Boris S. Nguyen Mau Nam Nguyen Thi Yen Nhi Wayne State Univ Dept Math Detroit MI 48202 USA King Fahd Univ Petr & Minerals Dhahran 31261 Saudi Arabia Portland State Univ Fariborz Maseeh Dept Math & Stat Portland OR 97207 USA
This article presents a systematic study of partial second-order subdifferentials for extended-real-valued functions, which have already been applied to important issues of variational analysis and constrained optimiz... 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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